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https://dspace.iiti.ac.in/handle/123456789/11945
| Title: | ON STARLIKENESS OF REGULAR COULOMB WAVE FUNCTIONS |
| Authors: | Kumar, Pranav Singh, Sanjeev |
| Keywords: | continued fraction;Coulomb wave functions;J-fraction;starlikeness |
| Issue Date: | 2023 |
| Publisher: | American Mathematical Society |
| Citation: | Baricz, Á., Kumar, P., & Singh, S. (2023). ON STARLIKENESS OF REGULAR COULOMB WAVE FUNCTIONS. Proceedings of the American Mathematical Society, 151(6), 2325-2338. doi:10.1090/proc/16180 |
| 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. c 2023 American Mathematical Society. |
| URI: | https://doi.org/10.1090/proc/16180 https://dspace.iiti.ac.in/handle/123456789/11945 |
| ISSN: | 0002-9939 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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