Geometric Properties of Normalized Galué Type Struve Function-Reference-Cited by-同舟云学术

Geometric Properties of Normalized Galué Type Struve Function

Published:2024-02-09 Issue:2 Volume:16 Page:211
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Sarkar Samanway¹^ORCID,Das Sourav¹^ORCID,Mondal Saiful R.²^ORCID

Affiliation:

1. Department of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur 831014, India

2. Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia

Abstract

The field of geometric function theory has thoroughly investigated starlike functions concerning symmetric points. The main objective of this work is to derive certain geometric properties, such as the starlikeness of order δ, convexity of order δ, k-starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity, and pre-starlikeness for the Galué type Struve function (GTSF). Furthermore, the conditions for GTSF belonging to the Hardy space are also derived. The results obtained in this work generalize several results available in the literature.

Funder

Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/211/pdf

Reference31 articles.

1. Duren, P.L. (1983). Univalent Functions. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag.

2. Conic regions and k-uniform convexity;Kanas;J. Comput. Appl. Math.,1999

3. On uniformly convex functions;Goodman;Proc. Ann. Pol. Math.,1991

4. Conic domains and starlike functions;Kanas;Rev. Roum. Math. Pures Appl.,2000

5. Uniformly convex functions and a corresponding class of starlike functions;Proc. Am. Math. Soc.,1993