Radii of starlikeness and convexity of extended generalized k-Bessel functions
    
Yazarlar (3)
Dr. Öğr. Üyesi Yücel ÖZKAN Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
Doç. Dr. Sercan KAZIMOĞLU Kafkas Üniversitesi, Türkiye
Makale Türü Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Analysis
Dergi ISSN 0971-3611 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 34 / 1 / 617–642 DOI 10.1007/s41478-025-00970-1
Makale Linki https://doi.org/10.1007/s41478-025-00970-1
Özet
The main purpose of this paper is to determine the radii of starlikeness and convexity of order for three different normalizations of the extended generalized k-Bessel functions defined by (Formula presented.) where and. Moreover, we obtain tight lower and upper bounds for the radii of starlikeness and convexity of order zero. The characterization of entire functions in the Laguerre–Polya class plays a crucial role in this paper.
Anahtar Kelimeler
Convexity | Euler Rayleigh inequalities | Extended generalized k-Bessel functions | Hadamard factorization | Laguerre–Polya class | Starlikeness