Relevant bibliographies by topics / Univalent functions

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  2. Dissertations / Theses
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Academic literature on the topic 'Univalent functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Univalent functions"

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PASCU, MIHAI N., and NICOLAE R. PASCU. "NEIGHBOURHOODS OF UNIVALENT FUNCTIONS." Bulletin of the Australian Mathematical Society 83, no. 2 (2010): 210–19. http://dx.doi.org/10.1017/s0004972710000468.

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AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–Warschawski–Wolff univalence criterion. We also present an application of the main result in terms of Taylor series, and we show that the hypothesis of our main result is sharp.
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Silverman, Herb. "Univalent functions having univalent derivatives." Rocky Mountain Journal of Mathematics 16, no. 1 (1986): 55–62. http://dx.doi.org/10.1216/rmj-1986-16-1-55.

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Obradović, Milutin, and Nikola Tuneski. "Univalency of Certain Transform of Univalent Functions." Proceedings of the Bulgarian Academy of Sciences 76, no. 6 (2023): 821–26. http://dx.doi.org/10.7546/crabs.2023.06.01.

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We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
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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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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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SILVERMAN, HERB. "PARTIAL SUMS OF A CLASS OF UNIVALENT FUNCTIONS." Tamkang Journal of Mathematics 29, no. 3 (1998): 171–74. http://dx.doi.org/10.5556/j.tkjm.29.1998.4262.

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Silverman, Herb. "Univalence for convolutions." International Journal of Mathematics and Mathematical Sciences 19, no. 1 (1996): 201–3. http://dx.doi.org/10.1155/s0161171296000294.

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The radius of univalence is found for the convolutionf∗gof functionsf∈S(normalized univalent functions) andg∈C(close-to-convex functions). A lower bound for the radius of univalence is also determined whenfandgrange over all ofS. Finally, a characterization ofCprovides an inclusion relationship.
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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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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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Dissertations / Theses on the topic "Univalent functions"

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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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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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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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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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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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Pohl, Daniel [Verfasser], Oliver [Gutachter] Roth, and Jürgen [Gutachter] Müller. "Universal Locally Univalent Functions and Universal Conformal Metrics / Daniel Pohl ; Gutachter: Oliver Roth, Jürgen Müller." Würzburg : Universität Würzburg, 2019. http://d-nb.info/1180286685/34.

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Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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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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Schippers, Eric. "The calculus of conformal metrics and univalence criteria for holomorphic functions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0021/NQ45740.pdf.

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Books on the topic "Univalent functions"

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

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

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1941-, Hag Kari, and Broch Ole Jacob, eds. The ubiquitous quasidisk. American Mathematical Society, 2012.

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

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Univalent Functions. De Gruyter, 2018.

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Duren, Peter L. Univalent Functions. Springer New York, 2010.

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Book chapters on the topic "Univalent functions"

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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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Dubinin, Vladimir N. "Univalent Functions." In Condenser Capacities and Symmetrization in Geometric Function Theory. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0843-9_7.

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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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Thurston, William. "Zippers and univalent functions." In The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof. American Mathematical Society, 1986. http://dx.doi.org/10.1090/surv/021/15.

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Komatu, Yûsaku. "Distortions on univalent functions." In Distortion Theorems in Relation to Linear Integral Operators. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-011-5424-6_5.

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Hayman, Walter K., and Eleanor F. Lingham. "Univalent and Multivalent Functions." In Problem Books in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25165-9_6.

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Carroll, Tom. "Univalent Functions: The Basics." In Springer Undergraduate Mathematics Series. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-73727-5_8.

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Cima, Joseph A., and John A. Pfaltzgraff. "Cauchy Transforms and Univalent Functions." In Blaschke Products and Their Applications. Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-5341-3_6.

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Rosenblum, Marvin, and James Rovnyak. "Harmonic Functions." In Topics in Hardy Classes and Univalent Functions. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8520-1_1.

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Conference papers on the topic "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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Davids, Esther O., Ogbazi Gabriella, and Timilehin Gideon Shaba. "Coefficient Bounds for a New Class of Univalent Function by Chebyshev Polynomial." In 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG). IEEE, 2024. http://dx.doi.org/10.1109/seb4sdg60871.2024.10629830.

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Siregar, Saibah, and Maslina Darus. "New subclasses of bi-univalent functions involving polylogarithm functions." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882590.

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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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Aldawish, Ibtisam, and Maslina Darus. "Cesáro partial sums of concave univalent functions." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882554.

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Shelake, Girish D., Sarika K. Nilapgol, and Priyanka D. Jirage. "Subclasses of univalent functions associated with generalized q-Mittag-Leffler function." In INTERNATIONAL CONFERENCE ON ADVANCES IN PURE & APPLIED MATHEMATICS (ICAPAM). AIP Publishing, 2025. https://doi.org/10.1063/5.0265526.

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Wahid, Nur Hazwani Aqilah Abdul, Daud Mohamad, and Shaharuddin Cik Soh. "Coefficient bounds for a subclass of tilted univalent functions." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887669.

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Hern, Andy Liew Pik, and Aini Janteng. "Coefficient estimates for some subclasses of bi-univalent functions." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980967.

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Reports on the topic "Univalent functions"

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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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Aghalary, Rasoul, Ali Ebadian, and Sibel Yalçın. Univalency and Convolution Results Associated to Starlike Functions with Respect to Symmetric Points. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.07.01.

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