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The radii of starlikeness and convexity of the functions including derivatives of Bessel functions       
Yazarlar
Dr. Öğr. Üyesi Sercan KAZIMOĞLU Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Turkish Journal of Mathematics
Dergi ISSN 1300-0098
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 03-2022
Cilt No 46
Sayı 3
Sayfalar 894 / 911
Doi Numarası 10.55730/1300-0098.3130
Makale Linki http://dx.doi.org/10.55730/1300-0098.3130