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Authors: DALIA S. ALI, RABHA W. IBRAHIM, DUMITRU BALEANU, NADIA M.G. AL-SAIDI.
Received 16 June 2022; Accepted 12 September 2022.
pp. 283-298
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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 sub-class 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.
Mathematics Subject Classification (2010): 30C45.
Keywords: Analytic function, subordination and superordination, univalent function, open unit disk, fractional integral operator, convolution operator, fractional calculus.
