The Radius of -Convexity of Normalized Bessel Functions of the First Kind

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Baricz A., ORHAN H., Szasz R.

COMPUTATIONAL METHODS AND FUNCTION THEORY, cilt.16, sa.1, ss.93-103, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40315-015-0123-1
  • Dergi Adı: COMPUTATIONAL METHODS AND FUNCTION THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.93-103
  • Anahtar Kelimeler: Bessel functions, Convex, starlike and alpha-convex functions, Zeros of Bessel functions
  • Atatürk Üniversitesi Adresli: Evet

Özet

The radii of -convexity are deduced for three different kinds of normalized Bessel functions of the first kind and it is shown that these radii are between the radii of starlikeness and convexity, when , and they are decreasing with respect to the parameter . The results presented in this paper unify some recent results on the radii of starlikeness and convexity for normalized Bessel functions of the first kind. The key tools in the proofs are some interlacing properties of the zeros of some Dini functions and the zeros of Bessel functions of the first kind.