Certain Properties of q-Hypergeometric Functions

The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q-starlike functions PSq*.

Bibliographic Details
Main Authors: Uzoamaka A. Ezeafulukwe, Maslina Darus
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/489218