Turán-type inequalities for generalized k-Bessel functions

• Date: 2024
• Main Author: Zayed, Hanaa M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7375
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose an approach to the generalized $\rm{k}$-Bessel function defined by $$\rm{U}_{p,q,r}^{\rm{k}}(z)=\sum\limits_{n=0}^{\infty}\frac{(-r)^{n}}{\Gamma_{\rm{k}}\left(n\rm{k}+p+\dfrac{q+1}{2}\rm{k}\right)n!}\left(\dfrac{z}{2}\right)  ^{2n+\frac{p}{\rm{k}}},$$&nbs...