Close-to-convexity of normalized Dini functions

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Baricz A., Deniz E., Yagmur N.

MATHEMATISCHE NACHRICHTEN, cilt.289, ss.1721-1726, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 289
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mana.201500009
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1721-1726
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag-Leffler expansions for Bessel functions of the first kind.