On a subclass of analytic functions with negative coefficients

Orhan H.

APPLIED MATHEMATICS AND COMPUTATION, cilt.142, ss.243-253, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 142
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00299-0
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-253
  • Anahtar Kelimeler: starlike function, Hadamard product, convex function, fractional calculus
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a class of functions R-p(alpha, beta) which are analytic in the unit disk. We obtain a necessary and sufficient condition for a functions to be in R-p (alpha, beta), and radii of close-to convexity, starlikeness and convexity. Further, an application in the fractional calculus for functions in R-p (alpha, beta) is given. (C) 2002 Elsevier Science Inc. All rights reserved.