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On a Generalized Fractional Integral Operator in a Complex Domain |
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PP: 1053-1059 |
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doi:10.18576/amis/100323
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Author(s) |
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Adem Kılıcman,
Rabha W. Ibrahim,
Zainab Esa Abdulnaby,
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Abstract |
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| In this paper we define a new fractional integral operator in complex z-plane C. We are also interested a fractional
integration operator to be compact and bounded, provide some examples in Bergmann spaces. By considering the properties of Gauss
hypergeometric function we study the univalence and convexity for the new operator. Finally, we follow modification formal to ensure
existence for this operator to be in class of univalent function in U. |
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