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Quadratic and Quartic Integrals Using the Method of Brackets

Ananthanarayan, B and Banik, S and Datta, S and Pathak, T (2019) Quadratic and Quartic Integrals Using the Method of Brackets. In: SCIENTIA, Series A: Mathematical Sciences, 29 . pp. 45-59.

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Official URL: https://doi.org/10.48550/arXiv.1909.00962


We use the method of brackets to evaluate quadratic and quartic type integrals. We recall the operational rules of the method and give examples to illustrate its working. The method is then used to evaluate the quadratic type integrals which occur in entries 3.251.1,3,4 in the table of integrals by Gradshteyn and Ryzhik and obtain closed form expressions in terms of hypergeometric functions. The method is further used to evaluate the quartic integrals, entry 2.161.5 and 6 in the table. We also present generalization of both types of integrals with closed form expression in terms of hypergeometric functions.

Item Type: Journal Article
Publication: SCIENTIA, Series A: Mathematical Sciences
Publisher: Universidad Técnica Federico Santa María
Additional Information: The copyright of this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 27 Mar 2023 11:12
Last Modified: 27 Mar 2023 11:12
URI: https://eprints.iisc.ac.in/id/eprint/81044

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