Results 51 to 60 of about 1,299 (211)
Univalent functions having univalent derivatives [PDF]
Rocky Mountain Journal of Mathematics, 1986 Let T denote the family of functions \(f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\), \(a_ n\geq 0\), which are analytic and univalent in the unit disk \(\Delta =\{| z|
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One Criterion for Univalency [PDF]
Proceedings of the American Mathematical Society, 1989 In this note we give one criterion for the functions f ( z )
Nunokawa, Mamoru +2 more
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From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
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The Univalence Conditions of Some Integral Operators
Abstract and Applied Analysis, 2012 We introduce new integral operators of analytic functions f and g defined in the open unit disk U. For these operators, we discuss some univalence conditions.
Laura Stanciu
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
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Memoirs of the American Mathematical SocietyThe Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based, categorical, and higher-categorical structures defined in a non-algebraic and space-based style, as well as models of higher-order theories such as topological spaces.
Ahrens, Benedikt +3 more
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Product of univalent functions [PDF]
Mathematical and Computer Modelling, 2013 Abstract Let S denote the class of functions f analytic and univalent in the unit disk | z | 1 normalized such that f ( 0 ) = 0 = f ′ ( 0 ) − 1 . In this article the authors discuss the radius of univalence of F ( z ) = g ( z ) h ( z ) / z when g and h belong ...
Milutin Obradovic, Saminathan Ponnusamy
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Some criteria for univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, 2004 We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk.
Virgil Pescar, Shigeyoshi Owa
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we study several important coefficient problems for the class Sp∗ of Sakaguchi‐type starlike functions subordinated to a petal‐shaped domain. We obtain a collection of sharp bounds that extend and refine known results in geometric function theory.
Adel A. Attiya +5 more
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Univalent harmonic mappings [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1996 Summary: A family of univalent harmonic functions is studied from the point of geometric function theory. This class consists of mappings of the open unit disk onto the entire complex plane except for two infinite slits along the real axis with a normalization at the origin.
Öztürk, Metin, Yamankaradeniz, Mümin
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