Lemniscate and Exponential Starlikeness of Regular Coulomb Wave Functions
\.Ibrahim Akta\c{s}
TL;DR
This paper investigates conditions under which normalized regular Coulomb wave functions exhibit lemniscate and exponential starlikeness within the open unit disk, using differential subordination techniques.
Contribution
It introduces new parameter conditions ensuring lemniscate and exponential starlikeness for normalized Coulomb wave functions, expanding geometric function theory applications.
Findings
Derived parameter bounds for lemniscate starlikeness
Established conditions for exponential starlikeness
Applied differential subordination method to Coulomb functions
Abstract
In this study, a normalized form of regular Coulomb wave function is considered. By using differential subordination method due to Miller and Mocanu, we determine some conditions on the parameters such that the normalized regular Coulomb wave function is lemniscate starlike and exponenetial starlike in the open unit disk, respectively.
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