Certain Geometric Properties of Some Bessel Functions
Rabha M. El-Ashwah, Alaa H. El-Qadeem
TL;DR
This paper establishes conditions under which generalized Bessel functions belong to specific subclasses of starlike and convex functions, extending results to familiar, modified, and spherical Bessel functions.
Contribution
It provides necessary and sufficient conditions for generalized Bessel functions to be in certain geometric subclasses, including corollaries for special Bessel functions.
Findings
Conditions for generalized Bessel functions to be starlike or convex
Corollaries for familiar, modified, and spherical Bessel functions
Extension of geometric function theory to Bessel functions
Abstract
In this paper, we determine necessary and sufficient conditions for the generalized Bessel function to be in certain subclasses of starlike and convex functions. Also, we obtain several corollaries as special cases of the main results, these corollaries gives the corresponding results of the familiar, modified and spherical Bessel functions.
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Taxonomy
TopicsAnalytic and geometric function theory · Pharmacological Effects of Medicinal Plants