A New Family of Starlike Functions in a Circular Domain Involving a  q -differential Operator

M. Arif; Q. Khan; J. Sokół

doi:10.3103/S1068362319060037

A New Family of Starlike Functions in a Circular Domain Involving a q-differential Operator

Authors: Arif M.¹, Khan Q.¹, Sokół J.²
Affiliations:
1. Abdul Wali Khan University
2. University of Rzeszów
Issue: Vol 54, No 6 (2019)
Pages: 339-346
Section: Real and Complex Analysis
URL: https://journal-vniispk.ru/1068-3623/article/view/228398
DOI: https://doi.org/10.3103/S1068362319060037
ID: 228398

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Abstract

The main purpose of the present paper is to investigate a number of useful properties such as sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikness and radius of convexity for a new subclass of analytic functions, which are defined here by means of a newly defined q-linear differential operator.