Geometric properties of generalized polylogarithm

DOI10.1080/10652461003593328zbMath1203.33003OpenAlexW1979309445MaRDI QIDQ3053697

Saiful Rahman Mondal, Anbhu Swaminathan

Publication date: 29 October 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652461003593328

zbMATH Keywords

convexitygeneralized hypergeometric functionstarlike functionpolylogarithm functionclose-to-convexityAlexander transformgeneralization of polylogarithm function

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Higher logarithm functions (33B30)

Related Items (2)

Subclasses of analytic functions associated with generalised multiplier transformations ⋮ Phase calculations for planar partition polynomials

Cites Work

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• Some discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
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• Polylogarithms in the theory of univalent functions
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• An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
• Convexity of a Certain Series
• Univalent and Starlike Generalized Hypergeometric Functions
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
• A generalization of the Hurwitz - Lerch Zeta function

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