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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 10 > No. 3


On a Generalized Fractional Integral Operator in a Complex Domain

PP: 1053-1059
Adem Kılıcman, Rabha W. Ibrahim, Zainab Esa Abdulnaby,
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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