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Radii of starlikeness and convexity of generalized k-Bessel functions.
- Source :
-
Journal of Applied Analysis . Jun2023, Vol. 29 Issue 1, p171-185. 15p. - Publication Year :
- 2023
-
Abstract
- The main purpose of this study is to determine the radii of starlikeness and convexity of the generalized k-Bessel functions for three different kinds of normalization in such a way that the resulting functions are analytic in the unit disk of the complex plane. The characterization of entire functions from Laguerre–Pólya class plays a significant role in this paper. Moreover, the interlacing properties of the zeros of the k-Bessel function and its derivative is also useful in the proof of the main results. By making use of the Euler–Rayleigh inequalities for the real zeros of the generalized k-Bessel function, we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14256908
- Volume :
- 29
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 164046412
- Full Text :
- https://doi.org/10.1515/jaa-2022-2005