Applications of Some Generalized Janowski Meromorphic Multivalent Functions

Author:

Ahmad Bakhtiar1ORCID,Khan Muhammad Ghaffar2ORCID,Darus Maslina3ORCID,Khan Mashwani Wali2ORCID,Arif Muhammad1

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

2. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan

3. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor 43600, Malaysia

Abstract

In this article, the ideas of post-quantum calculus and meromorphic multivalent functions are combined and some applications of these functions are discussed. We introduce a new subclass of meromorphic multivalent functions in association with Janowski domain. We investigate and study some useful geometric properties of this class of functions such as sufficiency criteria, distortion problem, growth theorem, radii of starlikeness and convexity, convex combination, and coefficient estimates for this class.

Funder

UKM

Publisher

Hindawi Limited

Subject

General Mathematics

Reference24 articles.

1. On q-definite integrals;F. H. Jackson;The Quarterly Journal of Pure and Applied Mathematics,1910

2. XI.—On q-Functions and a certain Difference Operator

3. Close-to-convexity of a certain family of q-Mittag-Leffler functions;H. M. Srivastava;Journal of Nonlinear and Variational Analysis.,2017

4. STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS

5. Coefficient estimates of new classes of q-starlike and q-convex functions of complex order

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