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A unified approach to the integrals of Mellin-Barnes-Hecke type

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Title A unified approach to the integrals of Mellin-Barnes-Hecke type
 
Creator SRINIVASAN, GK
 
Subject Gamma function
Fourier transforms
Pull-backs of distributions
HYPERGEOMETRIC-FUNCTIONS
GAMMA
 
Description In this paper, we provide a unified approach to a family of integrals of Mellin-Barnes type using distribution theory and Fourier transforms. Interesting features arise in many of the cases which call for the application of pull-backs of distributions via smooth submersive maps defined by Hormander. We derive by this method the integrals of Hecke and Sonine related to various types of Bessel functions which have found applications in analytic and algebraic number theory. (C) 2013 Elsevier GmbH. All rights reserved.
 
Publisher ELSEVIER GMBH, URBAN & FISCHER VERLAG
 
Date 2014-10-14T17:35:32Z
2014-10-14T17:35:32Z
2013
 
Type Article
 
Identifier EXPOSITIONES MATHEMATICAE, 31(2)151-168
http://dx.doi.org/10.1016/j.exmath.2013.01.008
http://dspace.library.iitb.ac.in/jspui/handle/100/14582
 
Language en