SOME SUFFICIENT CONDITIONS FOR UNIVALENCE OF CERTAIN FAMILIES OF INTEGRAL OPERATORS INVOLVING GENERALIZED BESSEL FUNCTIONS

DENİZ E., ORHAN H., Srivastava H. M.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.15, sa.2, ss.883-917, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.11650/twjm/1500406240
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.883-917
  • Anahtar Kelimeler: Analytic functions, Open unit disk, Univalent functions, Univalence conditions, Integral operators, Generalized Bessel functions, Bessel, Modified Bessel and spherical Bessel functions, Ahlfors-Becker and Becker univalence criteria, Schwarz lemma
  • Atatürk Üniversitesi Adresli: Evet

Özet

The main object of this paper is to give sufficient conditions for certain families of integral operators, which are defined here by means of the normalized form of the generalized Bessel functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for integral operators involving the Bessel function, the modified Bessel function and the spherical Bessel function.