Starlikeness and Convexity of Generalized Bessel-Maitland Function

Abstract

The main objective of this research is to examine a specific sufficiency criteria for the starlikeness and convexity of order δ, k-uniform starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity, uniform convexity of the Generalized Bessel-Maitland function. Applications of these conclusions to the concept of corollaries are also provided. Additionally, an illustrated representation of these outcomes will be presented. So functional inequalities involving gamma function will be the main research tools of this exploration. The outcomes from this study generalize a number of conclusions from earlier studies.

Keywords

• starlike functions
• convex functions
• exponential functions
• lemniscate of Bernoulli
• uniformly starlike functions
• uniformly convex functions