Hypergeometric functions in the geometric function theory

DOI10.1016/J.AMC.2006.08.143zbMath1117.30013OpenAlexW2073998044MaRDI QIDQ884148

T. N. Shanmugam

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.143

zbMATH Keywords

hypergeometric functionsconvex functionsunivalent functionsstarlike functionsgeneralized hypergeometric functionsHohlov operator

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) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (9)

Subordination results on harmonic \(k\)-uniformly convex mappings and related classes ⋮ Unnamed Item ⋮ Hypergeometric transforms in certain classes of analytic functions ⋮ Certain sufficient conditions for a subclass of analytic functions involving Hohlov operator ⋮ A certain subclass of uniformly convex functions defined by Bessel functions ⋮ On confluent hypergeometric functions and generalized Bessel functions ⋮ On certain sufficient condition involving Gaussian hypergeometric functions ⋮ Unnamed Item ⋮ New subclasses of analytic functions defined by convolution involving the hypergeometric function and the Owa-Srivastava operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On uniformly starlike functions
• Classes of analytic functions associated with the generalized hypergeometric function,
• Conic regions and \(k\)-uniform convexity
• Generalized hypergeometric functions associated with \(k\)-uniformly convex functions.
• On a class of univalent functions related to complex order
• Sufficiency for Gaussian hypergeometric functions to be uniformly convex
• Starlike and convexity properties for hypergeometric functions
• Uniformly convex functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Linear operators associated withk-uniformly convex functions
• On uniformly convex functions

This page was built for publication: Hypergeometric functions in the geometric function theory