λ-FRACTIONAL PROPERTIES OF GENERALIZED JANOWSKI FUNCTIONS IN THE UNIT DISC


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Çağlar M., Polatoğlu Y., Yavuz E.

MATEMATICKI VESNIK, vol.60, no.3, pp.165-171, 2008 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 3
  • Publication Date: 2008
  • Journal Name: MATEMATICKI VESNIK
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.165-171
  • Istanbul Kültür University Affiliated: Yes

Abstract

For analytic function f(z) = z + a(2)z(2) + . . . in the open unit disc D, a new fractional operator D(lambda)f(z) is defined. Applying this fractional operator D(lambda)f(z) and the principle of subordination, we give new proofs for some classical results concerning the class S-lambda(*)(A, B, alpha) of functions f(z).