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Inequalities involving certain families of integral and convolution operators. (English) Zbl 1062.30015
Summary: The main object of the present paper is to derive several strict inequalities associated with some families of integral and convolution operators which are defined for the class of normalized analytic functions in the open unit disk. A number of interesting consequences of these inequalities are also considered.

MSC:
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
26A33 Fractional derivatives and integrals
33B15 Gamma, beta and polygamma functions
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