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Fractional calculus and analytic functions. (English) Zbl 0952.30009

Summary: This paper delves into some historical introduction of fractional calculus and some of its applications. Some applications to univalent functions are given. Also, some propositions from Osler’s version of the integral analogue of the Leibniz theorem are shown to be particularly useful in evaluating certain well-known integrals.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
26A33 Fractional derivatives and integrals
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References:

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