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A theorem on a stieltjes-type integral transform and its applications

 

作者: H. M. Srivastava,   Osman Yürekli,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1995)
卷期: Volume 28, issue 2  

页码: 159-168

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814845

 

出版商: Gordon and Breach Science Publishers

 

关键词: 44A10;44A15;33C10;44A35

 

数据来源: Taylor

 

摘要:

In the present paper the authors prove a Parseval–Goldstein type theorem involving a Stieitjes-type integral transform, theKtransform, and the Hankel transform. The theorem is then shown to vield a number of new identities involving several well known integral transforms. Using the theorem and its corollaries, a number of interesting infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.

 

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