Fractional Calculus of Analytic Functions Concerned with Möbius Transformations. (22nd March 2016)

• Record Type: Journal Article
• Authors: Breaz, Nicoleta; Breaz, Daniel; Owa, Shigeyoshi
• Other Names: Secchi Simone Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-03-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6086409
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let A be the class of functions f ( z ) in the open unit disk U with f ( 0 ) = 0 and f ′ ( 0 ) = 1 . Also, let w ( ζ ) be a Möbius transformation in U for some z ∈ U . Applying the Möbius transformations, we consider some properties of fractional calculus (fractional derivatives and fractional integrals) of f ( z ) ∈ A . Also, some interesting examples for fractional calculus are given.