Relevant bibliographies by topics / Univalent function

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Univalent function'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Univalent function"

1

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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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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Kanwal, Bushra, Khalida Inayat Noor, and Saqib Hussain. "Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function." Journal of Mathematics 2021 (November 8, 2021): 1–9. http://dx.doi.org/10.1155/2021/1806174.

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Most subclasses of univalent functions are characterized with functions that map open unit disc ∇ onto the right-half plane. This concept was later modified in the literature with those mappings that conformally map ∇ onto a circular domain. Many researchers were inspired with this modification, and as such, several articles were written in this direction. On this note, we further modify this idea by relating certain subclasses of univalent functions with those that map ∇ onto a sector in the circular domain. As a result, conditions for univalence, radius results, growth rate, and several incl
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Pescar, Virgil, and Nicoleta Breaz. "Kudriasov Type Univalence Criteria for Some Integral Operators." Abstract and Applied Analysis 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/721932.

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We consider some integral operators defined by analytic functions in the open unit disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.
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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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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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Zadorozhnaya, Olga V., and Vladimir K. Kochetkov. "Application of the Loewner-Kufarev theory to the construction of a parametric set of univalent functions of a certain form." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 75 (2022): 5–22. http://dx.doi.org/10.17223/19988621/75/1.

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This work relates to the theory of Loewner-Kufarev differential equations, which are a part of the geometric function theory. We apply the well-known second Loewner-Kufarev differential equation to construct a parametric family of univalent functions in the unit disk g(z, t) for each fixed non-negative value of the parameter t generalizing the known parametric families. The article also uses various alternative approaches and provides their comparative analysis. The results of the study can be considered as one sufficient condition for the uniqueness of regular functions in a unit disk. Leadin
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Soni, Amit, and Deepak Bansal. "Certain geometric properties of generalized Bessel-Maitland function." Studia Universitatis Babes-Bolyai Matematica 68, no. 4 (2023): 789–98. http://dx.doi.org/10.24193/subbmath.2023.4.08.

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"In the present study, we first introduce Generalized Bessel-Maitland function $\mathbb{J}^{\xi }_{\zeta,a}(z)$ and then derive sufficient conditions under which the Generalized Bessel-Maitland function $\mathbb{J}^{\xi}_{\zeta,a}(z)$ have geometric properties like univalency, starlikeness and convexity in the open unit disk $\mathscr{D}$. Keywords: Univalent, starlike, convex and close-to-convex function, subordination, Bessel functions, Bessel-Maitland functions."
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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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Rossdy, Munirah, Rashidah Omar, and Shaharuddin Cik Soh. "Bi-Univalent Function Classes Defined by Using an Einstein Function and a New Generalised Operator." Science and Technology Indonesia 8, no. 2 (2023): 195–204. http://dx.doi.org/10.26554/sti.2023.8.2.195-204.

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Let A be the class of all analytic and univalent functions f (z) = z+Σ∞k=2 akzk in the open unit disc D = {z:|z|<1 }. S then represents the classes of every function in A that is univalent in D. For every f ∈ S, there is an inverse f−1. A function f ∈ A in D is categorised as bi-univalent if f and its inverse g = f−1 are both univalent. Motivated by the generalised operator, subordination principle, and the first Einstein function, we present a new family of bi-univalent analytic functions on the open unit disc of the complex plane. The functions contained in the subclasses are used to acco
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Dissertations / Theses on the topic "Univalent function"

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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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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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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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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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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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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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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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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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Books on the topic "Univalent function"

1

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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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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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 function"

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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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Rosenblum, Marvin, and James Rovnyak. "Function Theory on a Half-Plane." In Topics in Hardy Classes and Univalent Functions. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8520-1_5.

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FitzGerald, Carl H. "Arcs on which a univalent function has small magnitude." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078348.

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Pommerenke, Christian. "The growth of the derivative of a univalent function." 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/021/12.

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Sakar, F. Müge, and Ertuğrul Doğan. "Problem on Coefficients of Bi-Univalent Function Class Using Chebyshev Polynomials." In Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-3807-7_6.

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Altenkirch, Thorsten, Simon Boulier, Ambrus Kaposi, Christian Sattler, and Filippo Sestini. "Constructing a universe for the setoid model." In Lecture Notes in Computer Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71995-1_1.

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AbstractThe setoid model is a model of intensional type theory that validates certain extensionality principles, like function extensionality and propositional extensionality, the latter being a limited form of univalence that equates logically equivalent propositions. The appeal of this model construction is that it can be constructed in a small, intensional, type theoretic metatheory, therefore giving a method to boostrap extensionality. The setoid model has been recently adapted into a formal system, namely Setoid Type Theory (SeTT). SeTT is an extension of intensional Martin-Löf type theor
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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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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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Conference papers on the topic "Univalent function"

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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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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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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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Aqlan, Essam. "Linear Operator on univalent Function of Complex Order." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.4757179.

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Pauzi, Mohd Nazran Mohammed, Saibah Siregar, and Abdul Satar Nawi. "New subclasses of bi-univalent Ma-Minda starlike function involving Fox-Wright function." In 2015 International Conference on Research and Education in Mathematics (ICREM7). IEEE, 2015. http://dx.doi.org/10.1109/icrem.2015.7357051.

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Alamri, Mohammed, and Maslina Darus. "On univalent function with negative coefficients by using differential operator." In THE 2014 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4895316.

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Hameed, Mustafa I., Buthyna Najad Shihab, and Kassim Abdulhameed Jassim. "An application of subclasses of Goodman-Salagean-type harmonic univalent functions involving hypergeometric function." 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/10.1063/5.0093392.

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Reports on the topic "Univalent function"

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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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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