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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.
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참고문헌 (16)
참고문헌 신청
H. M. Srivastava / 1988 / Class of distortion theorems involving certain operators of fractional calculus / J. Math. Anal. Appl 131:412~420
H. M. Srivastava / 1984 / An application of the fractional derivative / Math. Japon 29:383~389
R. W. Ibrahim / 2011 / On generalized Srivastava-Owa fractional operators in the unit disk / Adv. Diff. Equa 55:1~10
A. Kꠕlꠕcman / 2016 / On a generalized fractional integral operator in a complex domain / Appl. Math. Inf. Sci 10:1053~1059
H. M. Srivastava / 2014 / Generating functions for the general-ized Gauss hypergeometric functions / Appl. Math. Comput 247:348~352
H. M. Srivastava / 1984 / An application of the fractional derivative / Math. Japon 29:383~389
R. W. Ibrahim / 2011 / On generalized Srivastava-Owa fractional operators in the unit disk / Adv. Diff. Equa 55:1~10
A. Kꠕlꠕcman / 2016 / On a generalized fractional integral operator in a complex domain / Appl. Math. Inf. Sci 10:1053~1059
H. M. Srivastava / 2014 / Generating functions for the general-ized Gauss hypergeometric functions / Appl. Math. Comput 247:348~352
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