The radii of starlikeness and convexity of the functions including derivatives of Bessel functions
      
Yazarlar (2)
Doç. Dr. Sercan KAZIMOĞLU Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Turkish Journal of Mathematics (Q2)
Dergi ISSN 1300-0098 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 03-2022
Cilt / Sayı / Sayfa 46 / 3 / 894–911 DOI 10.55730/1300-0098.3130
Makale Linki http://dx.doi.org/10.55730/1300-0098.3130
Özet
Let Jν(z) denote the Bessel function of the first kind of order ν. In this paper, our aim is to determine the radii of starlikeness and convexity for three kind of normalization of the function (Formula Presented) in the case where zeros are all real except for a single pair, which are conjugate purely imaginary. The key tools in the proof of our main results are the Mittag–Leffler expansion for function Nν(z) and properties of real and complex zeros of it.
Anahtar Kelimeler
Convex functions | Normalized bessel functions of the fist kind | Radius | Starlike functions | Zeros of bessel function derivatives