Some operators of fractional calculus and their applications involving a novel class of analytic functions

DOI10.1016/S0096-3003(97)10034-0zbMath0939.30009OpenAlexW2018736761MaRDI QIDQ1127827

Ming-Po Chen, Ching-Shu Yu, Hari M. Srivastava

Publication date: 23 September 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43987

zbMATH Keywords

Gauss hypergeometric functiongeneralized hypergeometric functionfractional calculusunivalent functionsKoebe functionremovable singularitiesgeometric function theoryChu-Vandermonde summation theoremEuler's transformationgrowth-and-distortion type theoremsLöwner's result

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

• A proof of the Bieberbach conjecture
• A class of distortion theorems involving certain operators of fractional calculus
• Some characterization theorems for starlike and convex functions involving a certain fractional integral operator
• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
• Univalent and Starlike Generalized Hypergeometric Functions
• On the theory of univalent functions
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