Generalized fractional integral operator in a complex domain

Dalia S. Ali, Rabha W. Ibrahim, Dumitru Baleanu, Nadia M.G. Al-Saidi

Abstract


A new fractional integral operator is used to present a generalized class of analytic functions in a complex domain. The method of definition is based on a Hadamard product of analytic function, which is called convolution product. Then we formulate a convolution integral operator acting on the subclass of normalized analytic functions. Consequently, we investigate the suggested convolution operator geometrically. Differential subordination inequalities, taking the starlike formula are given. Some consequences of well known results are illustrated.


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DOI: http://dx.doi.org/10.24193/subbmath.2024.2.03

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