Universal convexity and universal starlikeness of polylogarithms

DOI10.1090/S0002-9939-2014-12262-3zbMath1314.30024OpenAlexW1969808217MaRDI QIDQ5496312

Andrew Bakan, Stephan Ruscheweyh, Luis C. Salinas

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12262-3

zbMATH Keywords

convex functionspolylogarithmsuniversally convex functionsuniversally star-like functions

Mathematics Subject Classification ID

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

Related Items (4)

On geometric properties of the generating function for the Ramanujan sequence ⋮ Universally starlike and Pick functions ⋮ Exponential integral representations of theta functions ⋮ Completely monotone sequences and harmonic mappings

Cites Work

• Completely monotone sequences and universally prestarlike functions
• Universally prestarlike functions as convolution multipliers
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Convexity of a Certain Series
• On a connection between the polylogarithm function and the Bass diffusion model
• Real and functional analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Universal convexity and universal starlikeness of polylogarithms