Some operators of fractional calculus and their applications involving a novel class of analytic functions
Copyright policy )Some operators of fractional calculus and their applications involving a novel class of analytic functions
Making use of certain operators of fractional calculus (that is, fractional integral and fractional derivative), the authors present generalizations of various growth-and-distortion type results in terms of a novel class of analytic functions. These general results are shown to stem naturally from some recent conjectures and theorems in geometric function theory.
- Chung Yuan Christian University Taiwan
- Academia Sinica Taiwan
- University of Victoria Canada
- University of Victoria Canada
removable singularities, Generalized hypergeometric series, \({}_pF_q\), generalized hypergeometric function, Euler's transformation, Koebe function, fractional calculus, geometric function theory, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Löwner's result, univalent functions, Fractional derivatives and integrals, Gauss hypergeometric function, growth-and-distortion type theorems, Chu-Vandermonde summation theorem
removable singularities, Generalized hypergeometric series, \({}_pF_q\), generalized hypergeometric function, Euler's transformation, Koebe function, fractional calculus, geometric function theory, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Löwner's result, univalent functions, Fractional derivatives and integrals, Gauss hypergeometric function, growth-and-distortion type theorems, Chu-Vandermonde summation theorem
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