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Relevant bibliographies by topics / Analytic and Univalent functions

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Academic literature on the topic 'Analytic and Univalent functions'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Analytic and Univalent functions"

1

Hu, Zhenyong, Jinhua Fan, and Xiaoyuan Wang. "Univalence criteria for locally univalent analytic functions." Ukrains’kyi Matematychnyi Zhurnal 75, no. 7 (2023): 987–94. http://dx.doi.org/10.37863/umzh.v75i7.7222.

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UDC 517.5 Suppose that p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0. We establish the lower and upper bounds for the best constants σ 0 and σ 1 such that e - σ 0 / 2 < | p ( z ) | < e σ 0 / 2 and | p ( w ) / p ( z ) | < e σ 1 for z , w ∈ D , respectively, imply the univalence of ϕ ( z ) in D .

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Ding, Pisheng. "Analytic continuation of generalized trigonometric functions." Proceedings of the American Mathematical Society, Series B 9, no. 5 (2022): 41–49. http://dx.doi.org/10.1090/bproc/119.

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Via a unified geometric approach, certain generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they are univalent. Some consequences are deduced concerning radius of convergence for the Maclaurin series, commutation with rotation, continuation beyond the domain of univalence, and periodicity.

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Amani, Mostafa, Rasoul Aghalary, and Ali Ebadian. "Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications." Journal of Function Spaces 2021 (July 10, 2021): 1–11. http://dx.doi.org/10.1155/2021/4564694.

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In this paper, we study some properties of analytic functions with fixed initial coefficients. The methodology of differential subordination is used for modification and improvements of several well-known results for subclasses of univalent functions by restricting the functions with fixed initial coefficients. Actually, by extending the Nunokawa lemma for fixed initial coefficient functions, we obtain some novel results on subclasses of univalent functions, such as differential inequalities for univalency or starlikeness of analytic functions. Also, we provide some new sufficient conditions f

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Ahuja, Om P., Sumit Nagpal, and V. Ravichandran. "Radius Constants for Functions with the Prescribed Coefficient Bounds." Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/454152.

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For an analytic univalent functionf(z)=z+∑n=2∞anznin the unit disk, it is well-known thatan≤nforn≥2. But the inequalityan≤ndoes not imply the univalence off. This motivated several authors to determine various radii constants associated with the analytic functions having prescribed coefficient bounds. In this paper, a survey of the related work is presented for analytic and harmonic mappings. In addition, we establish a coefficient inequality for sense-preserving harmonic functions to compute the bounds for the radius of univalence, radius of full starlikeness/convexity of orderα (0≤α<1) fo

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Frasin, B. A., and M. Darus. "On certain analytic univalent functions." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 305–10. http://dx.doi.org/10.1155/s0161171201004781.

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We consider the class of analytic functionsB(α)to investigate some properties for this class. The angular estimates of functions in the classB(α)are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of orderαin the open unit disk.

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Delphi, Ali Musaddak. "A New Sandwich Theorem Relating to the Generalized Integral Operator for Univalent Analytic Functions." Indian Journal Of Science And Technology 17, no. 32 (2024): 3344–49. http://dx.doi.org/10.17485/ijst/v17i32.1877.

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Objective: To determine subordination, inclusion, superordination and sandwich theorems for new subclass of analytic univalent functions relating to the generalized integral operator, within a unit disk that is open. Methods: The procedures of the proof these theorems which used to find new results for this subject depend on the Lemma1.2 and Lemma1.3 mentioned inside this paper. Finding: The inclusion theorem for new subclass of univalent analytic function convolution with a generalized integral operator and the sandwich theorem were obtained using new findings for the subordination and supero

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Gangania, Kamaljeet. "Theory of Certain Non-Univalent Analytic Functions." Mathematica Slovaca 73, no. 5 (2023): 1163–82. http://dx.doi.org/10.1515/ms-2023-0086.

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ABSTRACT We investigate the non-univalent function’s properties reminiscent of the theory of univalent starlike functions. Let the analytic function ψ ( z ) = ∑ i = 1 ∞ A i z i , A 1 ≠ 0 be univalent in the unitdisk. Non-univalent functions may be found in the class ℱ ( ψ ) of analytic functions f of the form f ( z ) = z + ∑ k = 2 ∞ a k z k satisfying (zf′ (z)/f (z) – 1) ≺ ψ(z). Such functions, like the Ma and Minda classes k=2 of starlike functions, also have nice geometric properties. For these functions, growth and distortion theorems have been established. Further, we obtain bounds for som

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Olatunji, Sunday Olufemi, Matthew Olanrewaju Oluwayemi, Saurabh Porwal, and Alina Alb Lupas. "On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series." Symmetry 16, no. 6 (2024): 773. http://dx.doi.org/10.3390/sym16060773.

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Various researchers have considered different forms of bi-univalent functions in recent times, and this has continued to gain more attention in Geometric Function Theory (GFT), but not much study has been conducted in the area of application of the certain probability concept in geometric functions. In this manuscript, our motivation is the application of analytic and bi-univalent functions. In particular, the researchers examine bi-univalency of a generalized distribution series related to Bell numbers as a family of Caratheodory functions. Some coefficients of the class of the function are o

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Yamashita, Shinji. "Area and length maxima for univalent functions." Bulletin of the Australian Mathematical Society 41, no. 3 (1990): 435–39. http://dx.doi.org/10.1017/s0004972700018311.

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Let S be the family of functions f(z) = z + a2z2 + … which are analytic and univalent in |z| < 1. We find the valueas a function of r 0 < r < 1. The known lower estimate ofis improved. Relations with the growth theorem are considered and the radius of univalence of f(z)/z is discussed.

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Ravichandran, V., Om P. Ahuja, and Rosihan M. Ali. "Analytic and Harmonic Univalent Functions." Abstract and Applied Analysis 2014 (2014): 1–2. http://dx.doi.org/10.1155/2014/578214.

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Dissertations / Theses on the topic "Analytic and Univalent functions"

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Jahangiri-Lahekani, M. "Coefficients of powers of subclasses of univalent functions and convolutions of some classes of polynomials and analytic functions." Thesis, University of York, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356834.

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Sola, Alan. "Bergman space methods and integral means spectra of univalent functions." Licentiate thesis, Stockholm : Matematik, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4354.

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Amsheri, Somia M. A. "Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of -valent functions with negative coefficients in the open unit disk such as classes of -valent starlike func

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Amsheri, Somia Muftah Ahmed. "Fractional calculus operator and its applications to certain classes of analytic functions : a study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and ρ-valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of ρ-valent functions with negative coefficients in the open unit disk such as classes of ρ-valent starlike f

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Knapp, Cory. "Partial functions and recursion in univalent type theory." Thesis, University of Birmingham, 2018. http://etheses.bham.ac.uk//id/eprint/8448/.

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We investigate partial functions and computability theory from within a constructive, univalent type theory. The focus is on placing computability into a larger mathematical context, rather than on a complete development of computability theory. We begin with a treatment of partial functions, using the notion of dominance, which is used in synthetic domain theory to discuss classes of partial maps. We relate this and other ideas from synthetic domain theory to other approaches to partiality in type theory. We show that the notion of dominance is difficult to apply in our setting: the set of �0

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Bertoni, Vanessa. ""Funções e polinômios univalentes: algumas propriedades e aplicações"." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-11092006-162445/.

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O objetivo principal deste trabalho é o estudo das funções univalentes e de suas propriedades. Este estudo é direcionado principalmente aos polinômios univalentes e à investigação de prolemas extremos envolvendo seus coeficientes, seus zeros e suas propriedades geométricas. Encontramos uma relação interessante entre os polinômios univalentes e os polinômios univalentes definida por Suffridge. Geramos várias funções univalentes estreladas e convexas através de suas propriedades geométricas e da localização de seus zeros.<br>The main aim of this work is the study of univalent functions and their

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Taylor, Stephen M. "On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1851.pdf.

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Kapçak, Sinan Ufuktepe Ünal. "Analytic Functions on Time Scales/." [s.l.]: [s.n.], 2007. http://library.iyte.edu.tr/tezler/master/matematik/T000643.pdf.

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Abobakr, Mona R. H. "Quantum circuit analysis using analytic functions." Thesis, University of Bradford, 2019. http://hdl.handle.net/10454/18330.

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In this thesis, classical computation is first introduced. Finite quantum systems are considered with D-dimensional Hilbert space, and position x and momentum p taking values in Z(D) (the integers modulo D). An analytic rep resentation of finite quantum systems that use Theta function is presented and considered. The first novel part of this thesis is contribution to study reversible classical CNOT gates and their binary inputs and outputs with reversible cir cuits. Furthermore, a reversible classical Toffoli gates are considered, as well as implementation of a Boolean expression with clas

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Mvondo-She, Yannick. "Analytic properties of the Jost functions." Diss., University of Pretoria, 2013. http://hdl.handle.net/2263/41122.

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Recently, was developed a new theory of the Jost function, within which, it was split in two terms involving on one side, singlevalued analytic functions of the energy, and on the other, factors responsible for the existence of the branching-points. For the single-valued part of the Jost function, a procedure for the powerseries expansion around an arbitrary point on the energy plane was suggested. However, this theory lacks a rigorous proof that these parts are entire functions of the energy. It also gives an intuitive (not rigorous) derivation of the domain where they are entire. In

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Books on the topic "Analytic and Univalent functions"

1

Rosenblum, Marvin. Topics in Hardy classes and univalent functions. Birkhäuser, 1994.

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Gabriela, Kohr, ed. Geometric function theory in one and higher dimensions. Marcel Dekker, 2003.

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Lehto, Olli. Univalent Functions and Teichmüller Spaces. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4613-8652-0.

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Lehto, Olli. Univalent functions and Teichmüller spaces. World Books], 1990.

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Simon, Barry. Advanced complex analysis. American Mathematical Society, 2015.

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Rosenblum, Marvin, and James Rovnyak. Topics in Hardy Classes and Univalent Functions. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8520-1.

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M, Srivastava H., and Owa Shigeyoshi 1946-, eds. Univalent functions, fractional calculus, and their applications. Ellis Horwood, 1989.

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Florian, Helmut, Klaus Hackl, Franz Josef Schnitzer, and Wolfgang Tutschke, eds. Generalized Analytic Functions. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4613-3332-6.

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Carmichael, Richard D. Distributions and analytic functions. Longman Scientific & Technical, 1989.

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Juneja, O. P. Analytic functions: Greowth aspects. Pitman Advanced, 1985.

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Book chapters on the topic "Analytic and Univalent functions"

1

Pathak, Hemant Kumar. "Univalent Functions and Applications." In Complex Analysis and Applications. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9734-9_14.

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Michael Brilleslyper (text) and James S. Rolf (software). "Anamorphosis, Mapping Problems, and Harmonic Univalent Functions." In Explorations in Complex Analysis. American Mathematical Society, 2012. http://dx.doi.org/10.1090/clrm/040/04.

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Srivastava, H. M. "Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions." In Springer Optimization and Its Applications. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3498-6_38.

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Hussein, Adnan Aziz, and Kassim A. Jassim. "On a Certain Class Involving Analytic Univalent Functions Defined by Chebyshiv Polynomials." In Lecture Notes in Networks and Systems. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-90998-6_36.

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Srivastava, H. M. "Distortion Inequalities for Analytic and Univalent Functions Associated with Certain Fractional Calculus and other Linear Operators." In Analytic and Geometric Inequalities and Applications. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4577-0_21.

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Krushkal, Samuel L. "Teichmüller spaces and coefficient problems for univalent holomorphic functions." In Harmonic Analysis and Partial Differential Equations. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-25424-6_7.

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Airault, Hélène. "From Diff (S 1) to Univalent Functions. Cases of Degeneracy." In Analysis and Mathematical Physics. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9906-1_1.

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Saravanan, G., and K. Muthunagai. "Estimation of Upper Bounds for Initial Coefficients and Fekete-Szegö Inequality for a Subclass of Analytic Bi-univalent Functions." In Trends in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01123-9_7.

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Bracci, Filippo, Manuel D. Contreras, and Santiago Díaz-Madrigal. "Univalent Functions." In Springer Monographs in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36782-4_3.

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Lehto, Olli. "Univalent Functions." In Graduate Texts in Mathematics. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4613-8652-0_3.

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Conference papers on the topic "Analytic and Univalent functions"

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Shaba, Timilehin Gideon, Serkan Araci, and Babatunde Olufemi Adebesin. "Application of Three Leaf Domain on a Subclass of Bi-univalent Functions." In 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG). IEEE, 2024. http://dx.doi.org/10.1109/seb4sdg60871.2024.10629753.

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Shaba, Timilehin Gideon, Matthew Olanrewaju Oluwayemi, Benedicta Aladeitan, Olanrewaju Abraham Femi, Sunday Emmanuel Fadugba, and Akinremi Joseph Oluwadamilare. "On certain q-Ruscheweyh operator involving a new subclass of univalent functions." In 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG). IEEE, 2024. http://dx.doi.org/10.1109/seb4sdg60871.2024.10629776.

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Saloomi, Mohammed H., Sondekola Rudra Swamy, Mohamed Al-Sultani, and Roaa Hatem Talib. "Quasi-Subordination on Pseudo and Bazilevic Bi-Univalent Functions Involving the Horadam Polynomials." In 2024 8th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT). IEEE, 2024. https://doi.org/10.1109/ismsit63511.2024.10757278.

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Fathi, Mohammed A., and Abdul Rahman S. Juma. "Certain subclasses of univalent analytic functions defined by Bessel function." In 1ST SAMARRA INTERNATIONAL CONFERENCE FOR PURE AND APPLIED SCIENCES (SICPS2021): SICPS2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0121731.

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H.MAHMOOD, Zainab, Aseel A.HASSAN, and Dunia K.MAHDI. "DIFFERENTIAL SUBORDINATIONS FOR MULTIVALENT FUNCTIONS ASSOCIATED WITH GENERALIZED FRACTIONAL DIFFERENTIAL OPERATOR." In V. International Scientific Congress of Pure, Applied and Technological Science. Rimar Academy, 2022. http://dx.doi.org/10.47832/minarcongress5-12.

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In this paper, we derive some subordination results for certain subclasses of p− valent analytic functions defined by generalized fractional differintegral operator using the principle of differential subordination, producing the best dominant univalent solutions. We have also derived inclusion relations and solved majorization problem.

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Illafe, Mohamed, Maisarah Haji Mohd, and Shamani Supramaniam. "A new construction for a subclass of analytic bi-univalent functions." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2022 (MATHTECH 2022): Navigating the Everchanging Norm with Mathematics and Technology. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0192498.

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Rossdy, Munirah, Rashidah Omar, and Shaharuddin Cik Soh. "New differential operator for analytic univalent functions associated with binomial series." In 4TH SYMPOSIUM ON INDUSTRIAL SCIENCE AND TECHNOLOGY (SISTEC2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0171850.

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Amourah, Ala A. "Faber polynomial coefficient estimates for a class of analytic bi-univalent functions." In SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019). Author(s), 2019. http://dx.doi.org/10.1063/1.5097821.

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Buti, Rafid Habib, Ameen Khlaif Sachit, and Hanan E. Darwish. "On subclass of analytic univalent functions defined by fractional differ-integral operator III." In PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0093849.

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Rashid, Amal Madhi, and Abdul Rahman S. Juma. "Some results for analytic univalent functions on third-order differential subordination and superordination." In 2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0161703.

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Reports on the topic "Analytic and Univalent functions"

1

Çağlar, Murat. Chebyshev Polynomial Coefficient Bounds for a Subclass of Bi-univalent Functions. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2019. http://dx.doi.org/10.7546/crabs.2019.12.02.

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McCormick, Garth P., and Christoph Witzgall. On weakly analytic and faithfully convex functions in convex programming. National Institute of Standards and Technology, 2000. http://dx.doi.org/10.6028/nist.ir.6426.

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Altınkaya, Şahsene, Shigeyoshi Owa, and Sibel Yalçın. On a New Class of Analytic Functions Related to Fractional Calculus. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.01.02.

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Camilo, Cláudia, Andréia Salmazo, Margari da Vaz Garrido, and Maria Manuela Calheiros. Parents’ executive functioning in parenting outcomes: A meta-analytic review. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2023. http://dx.doi.org/10.37766/inplasy2023.3.0067.

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Review question / Objective: Guided by the PRISMA guidelines, this study aims to systematically review and meta-analyze the literature exploring the association between parents’ basic and higher-order executive functions in adulthood (working memory, inhibitory control, cognitive flexibility, planning, reasoning, problem-solving) and positive and negative parenting outcomes (parenting practices, behaviors, styles). Eligibility criteria: his meta-analysis will include: 1) Studies that analyze the association of mothers’/ fathers’ basic and higher-order executive functions in adulthood and paren

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Hlushak, Oksana M., Volodymyr V. Proshkin, and Oksana S. Lytvyn. Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3268.

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As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated. It was established that the e-learning course is a complex of teaching materials and educational services created for the organization of individual and group training using information and communication technologies. Based on the outlined possibilities of applying the e-learning course, as well as its didactic f

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Journeay, M., J. Z. K. Yip, C. L. Wagner, P. LeSueur, and T. Hobbs. Social vulnerability to natural hazards in Canada. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/330295.

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While we are exposed to the physical effects of natural hazard processes, certain groups within a community often bear a disproportionate share of the negative consequences when a disaster strikes. This study addresses questions of why some places and population groups in Canada are more vulnerable to natural hazard processes than others, who is most likely to bear the greatest burden of risk within a given community or region, and what are the underlying factors that disproportionally affect the capacities of individuals and groups to withstand, cope with, and recover from the impacts and dow

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Langlais, Pierre-Carl. Uses of Open Science. Comité pour la science ouverte, 2024. https://doi.org/10.52949/67.

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Contrary to common expectations, 65-90% of the audience of open science platforms comes from non-academics. New research has shown that the open science movement has largely expanded the social, economic and cultural scope of scientific research. Regular users include students, non-academic professionals or private citizens. Private and public structures extensively rely on open research to create new innovations and better document existing practices or products. Significant professional uses of academic research has been attested in numerous sectors such as the aircraft industry, banking, in

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