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http://dx.doi.org/10.11568/kjm.2019.27.3.581

SOME APPLICATIONS FOR GENERALIZED FRACTIONAL OPERATORS IN ANALYTIC FUNCTIONS SPACES  

Kilicman, Adem (Department of Mathematics and Institute for Mathematical Research Universiti Putra Malaysia)
Abdulnaby, Zainab E. (Department of Mathematics College of Science Mustansiriyah University)
Publication Information
Korean Journal of Mathematics / v.27, no.3, 2019 , pp. 581-594 More about this Journal
Abstract
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.
Keywords
Analytic functions; Normalized functions; Srivastava-Owa fractional operators; Generalized Gauss hypergeometric function; Bloch space;
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