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

被引：2

作者：

Chen, MP

Srivastava, HM ^{[1
]}

Yu, CS

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Acad Sinica, Inst Math, Taipei 11529, Taiwan

[3] Chung Yuan Christian Univ, Dept Math, Chungli 32033, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1998年 / 91卷 / 2-3期

关键词：

fractional calculus; growth-and-distortion type theorems; analytic functions; geometric function theory; univalent functions; Koebe function; Lowner's result; removable singularities; Gauss hypergeometric function; generalized hypergeometric function; Euler's transformation; Chu-Vandermonde summation theorem;

D O I：

10.1016/S0096-3003(97)10034-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Making use of certain operators of fractional calculus (that is, fractional integral and fractional derivative), generalizations of various growth-and-distortion type results in terms of a novel class of analytic functions are presented. These general results are shown to stem naturally from some recent conjectures and theorems in Geometric Function Theory. (C) 1998 Elsevier Science Inc. All rights reserved.

引用

页码：285 / 296

页数：12

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