On the Janowski convexity and starlikeness of the confluent hypergeometric function

zbMath1317.30014MaRDI QIDQ2349219

Rosihan Mohamed Ali, Saiful Rahman Mondal, Vravi Ravichandran

Publication date: 22 June 2015

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1432840860

zbMATH Keywords

subordinationclose-to-convex functionsJanowski star-like functionsJanowski convex functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (8)

A subclass of analytic functions related to \(k\)-uniformly convex and starlike functions ⋮ Third order differential subordination associated with Janowski functions ⋮ On the Janowski starlikeness of the Coulomb wave functions ⋮ Exponential starlikeness and convexity of confluent hypergeometric, Lommel, and Struve functions ⋮ On confluent hypergeometric functions and generalized Bessel functions ⋮ Sufficient conditions for strong starlikeness ⋮ Class of analytic function related with uniformly convex and Janowski's functions ⋮ On the Janowski class of generalized Struve functions

This page was built for publication: On the Janowski convexity and starlikeness of the confluent hypergeometric function