Some properties of analytic functions defined by polylogarithm functions

DOI10.21608/EJMAA.2024.280116.1166MaRDI QIDQ6598266

P. Thirupathi Reddy

Publication date: 4 September 2024

Published in: Electronic Journal of Mathematical Analysis and Applications EJMAA (Search for Journal in Brave)

zbMATH Keywords

convolutiondistortionconvexstarlikeanalytic

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Some applications of the generalized Libera integral operator
• Integral operators of certain univalent functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Partial sums of starlike and convex functions
• Note on the fonction \({\mathfrak K}(w,x,s)= \sum^{\infty}_{k=0}\frac{e^{2k\pi ix}}{(w+k)^s}\).
• Fekete-Szegö inequalities for the polylogarithm function and fractional derivative operator
• Polylogarithms in the theory of univalent functions
• Partial sums of certain classes of meromorphic functions related to the Hurwitz-Lerch zeta function
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Certain classes of univalent functions
• Neighborhoods of Univalent Functions
• New Criteria for Univalent Functions
• Univalent Functions with Negative Coefficients
• MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
• Partial sums of certain classes of analytic functions
• Univalent Functions and Nonanalytic Curves

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