A certain subclass of analytic functions involving operators of fractional calculus
Yükleniyor...
Tarih
1998
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Making use of certain operators of fractional calculus, we introduce a new class T-mu(n,lambda,alpha) of functions which are analytic and univalent in the open unit disk U and obtain a necessary and sufficient condition for a function to be in the class T-mu(n,lambda,alpha). The various other results presented here for the class T-mu(n,lambda,alpha) include the radii of close-to-convexity, starlikeness, and convexity, end some growth and distortion theorems involving fractional integrals and fractional derivatives. Some interesting consequences and possible further generalizations of these results are also pointed out.
Açıklama
Srivastava, Hari M./0000-0002-9277-8092; Srivastava, Hari M./0000-0002-9277-8092
Anahtar Kelimeler
analytic functions, univalent functions, fractional calculus (fractional integral and fractional derivative), close-to-convex functions, starlike functions, convex functions, maximum modulus theorem, growth and distortion theorems, Gauss hypergeometric function
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
35
Sayı
5
Künye
closedAccess
