Polylogarithms in the theory of univalent functions

DOI10.1007/BF03322186zbMath0863.30016MaRDI QIDQ1923655

S. Sabapathy, Saminathan Ponnusamy

Publication date: 27 May 1997

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized polylogarithm

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (13)

On hypergeometric functions and function spaces ⋮ Polylogarithms in the theory of univalent functions ⋮ Unnamed Item ⋮ Certain convexity properties of Hurwitz-Lerch Zeta and Mittag-Leffler functions ⋮ Unnamed Item ⋮ Identification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions ⋮ Strong differential subordinations obtained with new integral operator defined by polylogarithm function ⋮ Unnamed Item ⋮ Univalency of weighted integral transforms of certain functions ⋮ Geometric properties of generalized polylogarithm ⋮ Finding initial coefficients for a class of bi-univalent functions given by q-derivative ⋮ Duality techniques for certain integral transforms to be starlike ⋮ A new class of meromorphic functions involving the polylogarithm function

Cites Work

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• On two extremal problems related to univalent functions
• Inclusion theorems for convolution product of second order polylogarithms and functions with the derivative in a halfplane
• Polylogarithms in the theory of univalent functions
• Convexity of a Certain Series
• Generalized Hypergeometric Functions at Unit Argument
• Asymptotic expansions and inequalities for hypergeometric function
• Inequalities for Zero-Balanced Hypergeometric Functions
• Convexity and starlikeness of functions defined by a class of integral operators
• The hardy spaces of hypergeometric functions
• Differential subordination and starlike functions
• Univalence and convexity properties for Gaussian hypergeometric functions

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