On a new class of analytic functions related to fractional calculus

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Altınkaya Ş., Owa S., Yalcin S.

Comptes Rendus de L'Academie Bulgare des Sciences, cilt.73, sa.1, ss.13-21, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.7546/crabs.2020.01.02
  • Dergi Adı: Comptes Rendus de L'Academie Bulgare des Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.13-21
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2020 Academic Publishing House. All rights reserved.Let A be the class of analytic functions f with f(0) = 0 and f′(0) = 1 in the open unit disk U. Applying the fractional derivative Dz λf of order λ for f ∈ A, a new subclass A(α, β; λ) of A with 0 ≦ α < 1, β > 1 and 0 ≦ λ < 1 is considered. The object of the present paper is to discuss some interesting properties of this class of functions.