On some geometric results for generalized k-Bessel functions

Autor:	Toklu Evrim
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	k-bessel function univalent starlike and convex functions α-convex functions radius of uniform convexity radius of α-convexity 30c45 30d15 33c10 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 56, Iss 1, Pp 87-92 (2023)
Druh dokumentu:	article
ISSN:	2391-4661 2022-0235
DOI:	10.1515/dema-2022-0235
Popis:	The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity. In addition, we show that the radii of α\alpha -convexity remain in between the radii of starlikeness and convexity, in the case when α∈[0,1],\alpha \in {[}0,1], and they are decreasing with respect to the parameter α.\alpha . The key tools in the proof of our main results are infinite product representations for normalized kk-Bessel functions and some properties of real zeros of these functions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a56f5ce0b9e846b2af2586bbc9cd89c1 Zobrazit plný text záznamu View record in DOAJ