Bera, S (2024) Epsilon-Expansion of Multivariable Hypergeometric Functions Appearing in Feynman Integral Calculus. In: 25th DAE-BRNS High Energy Physics Symposium, HEPS 2022, 12 December 2022through 16 December 2022, IISER Mohali, pp. 741-742.
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Abstract
We present a new methodology 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 thereby providing a closed system of expressions. We present illustrative examples of hypergeometric functions in one, two, and three variables which are typical of Feynman integral calculus. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.
Item Type: | Conference Paper |
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Publication: | Springer Proceedings in Physics |
Publisher: | Springer Science and Business Media Deutschland GmbH |
Additional Information: | The copyright for this article belongs to the Publisher. |
Keywords: | Closed systems; Epsilon expansion; Feynman integrals; Hypergeometric functions; Integral calculus; Laurent series expansion; Linear combinations; Multi variables; Taylor's series expansion, Integral equations |
Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
Date Deposited: | 03 Sep 2024 04:28 |
Last Modified: | 03 Sep 2024 04:28 |
URI: | http://eprints.iisc.ac.in/id/eprint/86041 |
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