Bera, S (2023) ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus. In: Nuclear Physics B, 989 .
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Abstract
We present a new methodology, suitable for implementation on computer, to perform the ϵ-expansion of hypergeometric functions with linear ϵ dependent Pochhammer parameters in any number of variables. Our approach allows one to perform Taylor as well as Laurent series expansion of multivariable hypergeometric functions. Each of the coefficients of ϵ in the series expansion is expressed as a linear combination of multivariable hypergeometric functions with the same domain of convergence as that of the original hypergeometric function. We present illustrative examples of hypergeometric functions in one, two and three variables which are typical of Feynman integral calculus.
| Item Type: | Journal Article |
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| Publication: | Nuclear Physics B |
| Publisher: | Elsevier B.V. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 02 May 2023 09:30 |
| Last Modified: | 02 May 2023 09:30 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81245 |
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