Some subclasses of analytic functions associated with fractional calculus operators

作     者：Raina, RK Srivastava, HM 

作者机构：Rajasthan Agr Univ Coll Technol & Agr Engn Dept Math Udaipur 313001 Rajasthan India Univ Victoria Dept Math & Stat Victoria BC V8W 3P4 Canada 

出 版 物：《COMPUTERS & MATHEMATICS WITH APPLICATIONS》 (计算机与数学及其应用)

年 卷 期：1999年第37卷第9期

页      面：73-84页

核心收录：

学科分类：08[工学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Natural Sciences and Engineering Research Council of Canada, NSERC, (OGP0007353) Department of Science and Technology, Government of Kerala, (DST/MS/PM-001/93) 

主　　题：analytic functions Hardy space fractional integrals and fractional derivatives generalized hypergeometric functions Meijer's G-function close-convex functions 

摘      要：This paper begins by studying several properties and characteristics of certain subclasses of analytic functions with positive coefficients. The results investigated here include various coefficient inequalities, distortion properties, and the radii of close-to-convexity. Inclusion theorems involving the Hardy space of analytic functions and the class of functions whose derivative has a positive real part are also investigated. Relationships between certain subclasses of analytic functions (involving fractional derivative operators) with negative coefficients and a certain generalized fractional integral operator are then studied. Various known or new special cases of our results are also pointed out. (C) 1999 Elsevier Science Ltd. All rights reserved.