ICAR Research Data Repository for Knowledge Management
On a remarkable formula of Ramanujan
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
On a remarkable formula of Ramanujan
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| Creator |
CHAKRABARTI, D
SRINIVASAN, GK |
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| Subject |
Gamma function
Fourier transforms |
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| Description |
A simple proof of Ramanujan's formula for the Fourier transform of |Gamma (a + it)|(2) is given where a is fixed and has positive real part and t is real. The result is extended to other values of a by solving an inhomogeneous ODE, and we use it to calculate the jump across the imaginary axis.
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| Publisher |
SPRINGER BASEL AG
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| Date |
2014-10-17T04:19:54Z
2014-10-17T04:19:54Z 2012 |
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| Type |
Article
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| Identifier |
ARCHIV DER MATHEMATIK, 99(2)125-135
http://dx.doi.org/10.1007/s00013-012-0416-9 http://dspace.library.iitb.ac.in/jspui/handle/100/15932 |
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| Language |
en
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