New Subclass of Analytic Functions Associated with Fractional q− Differintegral Operator-Reference-Cited by-同舟云学术

New Subclass of Analytic Functions Associated with Fractional q− Differintegral Operator

Published:2022-06-29 Issue: Volume: Page:347-359
ISSN:1016-2526
Container-title:Punjab University Journal of Mathematics
language:en
Short-container-title:Punjab Univ. j. math.

Author:

Bobalade D. D.¹,Joshi S. B.²,Sangle N. D.³

Affiliation:

1. Department of Mathematics, Shivaji University, Kolhapur (M.S.), India

2. Department of Mathematics, Walchand College of Engineering, Sangli (M.S.), India

3. Department of Mathematics, D.Y. Patil College of Engineering and Technology, Kasaba Bawada, Kolhapur (M.S.), India

Abstract

In this paper, we have introduced a new subclass T α q,ξ,δ of univalent and analytic functions defined by fractional q− differintegral operator in the unit disc U = {z ∈ C : |z| < 1}. We obtained, among other results, coefficient inequality, convex set, extreme points, growth and distortion theorem, radii of a class of starlikeness, convexity, and neighborhood and Hadamard product for this subclass.

Publisher

Department of Mathematics, University of the Punjab

Subject

Pharmacology (medical)

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