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Fractional integral and other linear operators associated with the gaussian hypergeometric function

 

作者: Yong Chan Kim,   H. M. Srivastava,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 3  

页码: 293-312

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815054

 

出版商: Gordon and Breach Science Publishers

 

关键词: analytic functions;univalent functions;starlike functions;convex functions;close-to-convex functions;uniformly convex functions;multiplier transformations;Gaussian hypergeometric functions;probability measure;Hadamard product or convolution;1991 Mathemati

 

数据来源: Taylor

 

摘要:

In this paper we investigate several interesting properties of the fractional calculus operators, the Carlson-Shaffer linear operator L(a,c) and a certain integral operator, associated with various subclasses of analytic and univalent functions. We also investigate the relationships of some of these classes with the Hardy spaceH∞(of bounded analytic functions in the open unit disk μ and with some families of multiplier transformations.

 

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