Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain-Reference-Cited by-同舟云学术

Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain

Published:2023-02-03 Issue:2 Volume:7 Page:148
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Cotîrlǎ Luminiţa-Ioana¹^ORCID,Murugusundaramoorthy Gangadharan²^ORCID

Affiliation:

1. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, India

Abstract

In this paper, we make use of the concept of q−calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete–Szegö functional. A similar results have been done for the function ℘−1. Further, for functions in newly defined class we determine coefficient estimates, distortion bounds, radius problems, results related to partial sums.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/148/pdf

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