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The radii of starlikeness and convexity of the functions including derivatives of Bessel functions       
Yazarlar
Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye
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 $N_ν(z) = az^2 J ′′ _ν (z) + bzJ′_ν(z) + cJ_ν(z)$ 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 $N_ν(z)$and properties of real and complex zeros of it.
Anahtar Kelimeler
Normalized Bessel functions of the fist kind | convex functions | starlike functions | zeros of Bessel function derivatives | radius
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 Q3
Makale Dili İngilizce
Basım Tarihi 1-2022
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