Abstract
This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions. These include distortion bounds, sufficiency criteria, extreme points, radius of both starlikness and convexity, weighted mean and partial sum for this newly defined subclass of multivalent functions are discussed. Various integral operators are obtained by putting particular values to the parameters used in the newly defined operator.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference41 articles.
1. On q-definite integrals;Jackson;Q. J. Pure Appl. Math.,1910
2. XI.—On q-Functions and a certain Difference Operator
3. Univalent functions, fractional calculus, and associated generalized hypergeometric functions;Srivastava,1989
4. A generalization of starlike functions
5. A generalization of starlike functions of order alpha
Cited by
34 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献