Radius of $\gamma$-Spirallikeness of order $\alpha$ for some Special functions

TL;DR

This paper determines the radius within which certain special functions are $ ext{γ}$-spirallike of order $ ext{α}$, extending known results in geometric function theory.

Contribution

It introduces new radii estimates for $ ext{γ}$-spirallikeness of order $ ext{α}$ for well-known special functions, generalizing previous findings.

Findings

Established the radius of $ ext{γ}$-spirallikeness for specific special functions.

Extended known results to broader classes of functions.

Provided natural generalizations of existing geometric function theory results.

Abstract

In this paper, we establish the radius of $\gamma$-Spirallike of order $\alpha$ of certain well-known special functions. The main results of the paper are new and natural extensions of some known results.