MAPPING PROPERTIES FOR CONIC REGION ASSOCIATED WITH GALUE TYPE STRUVE FUNCTION

Abstract

This paper explores the mapping properties of a particular class of functions, specifically the Galue-type Struve function, within conic regions of the complex plane. Building upon classical findings in complex analysis and mathematical physics, we examine the geometric characteristics, behavior and transformation properties of the Galue-type Struve function under various conformal mappings. The primary aim of this study is to enhance our understanding of how these functions behave within conic regions and to investigate their potential applications in physical modeling, particularly in domains where complex variables and special functions intersect. Our goal is to get necessary conditions for the convolution operatorbelonging to the classes UVX (k, α), S(k, α) and  S _ς^*.