Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
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LetAbe the class of functionsf(z)in the open unit diskUwithf(0)=0andf′(0)=1. Also, letw(ζ)be a Möbius transformation inUfor somez∈U. Applying the Möbius transformations, we consider some properties of fractional calculus (fractional derivatives and fractional integrals) off(z)∈A. Also, some interesting examples for fractional calculus are given.
2016 ◽
Vol 103
(1)
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pp. 104-115
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2013 ◽
Vol 21
(1)
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pp. 277-284
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2019 ◽
Vol 11
(1)
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pp. 144-155
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2018 ◽
Vol 37
(4)
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pp. 173-186
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2001 ◽
Vol 25
(12)
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pp. 771-775
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