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A unified approach to the integrals of Mellin-Barnes-Hecke type
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
A unified approach to the integrals of Mellin-Barnes-Hecke type
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| Creator |
SRINIVASAN, GK
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| Subject |
Gamma function
Fourier transforms Pull-backs of distributions HYPERGEOMETRIC-FUNCTIONS GAMMA |
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| 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.
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| Publisher |
ELSEVIER GMBH, URBAN & FISCHER VERLAG
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| Date |
2014-10-14T17:35:32Z
2014-10-14T17:35:32Z 2013 |
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| Type |
Article
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| 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 |
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| Language |
en
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