1. On starlikeness of regular Coulomb wave functions.
- Author
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Baricz, Árpád, Kumar, Pranav, and Singh, Sanjeev
- Subjects
- *
COULOMB functions , *STAR-like functions , *ANALYTIC functions , *CONTINUED fractions , *BESSEL functions - Abstract
In this paper, we study some geometric properties of a class of analytic functions which is defined from the J-fraction expansion of the ratio {zf'(z)}/{f(z)}. We find the disk domain which is mapped into a starlike domain by these functions. Moreover, we study similar results for two different normalized forms of regular Coulomb wave functions and a normalized Bessel function of the first kind by using continued fractions expansions. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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