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Some applications for generalized fractional operators in analytic functions spaces
Adem Kilicman,Zainab E. Abdulnaby 강원경기수학회 2019 한국수학논문집 Vol.27 No.3
In this study a new generalization for operators of two parameters type of fractional in the unit disk is proposed. The fractional operators in this generalization are in the Srivastava-Owa sense. Concerning with the related applications, the generalized Gauss hypergeometric function is introduced. Further, some boundedness properties on Bloch space are also discussed.
Kilicman, Adem,Kurumujji, Shantha Kumari,Rathie, Arjun K. Korean Mathematical Society 2022 대한수학회논문집 Vol.37 No.2
In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings.