Quadratic and Quartic Integrals Using the Method of Brackets

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
quadratic integrals, quartic integrals, method of brackets, hypergeometric functions

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B Ananthanarayan
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Sumit Banik
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Sudeepan Datta
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Tanay Pathak
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India

Abstract

The method of brackets is used to evaluate quadratic and quartic type
integrals appearing in the classical table of integrals by Gradshteyn and Ryzhik
in terms of hypergeometric functions. Some generalizations are also presented. 

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Vol. 29 (2019)

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© 2026 The Author(s). Published By Universidad Técnica Federico Santa María

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How to Cite

B Ananthanarayan, Sumit Banik, Sudeepan Datta, & Tanay Pathak. (2025). Quadratic and Quartic Integrals Using the Method of Brackets. Scientia Series A: Mathematical Sciences, 29, 45-59. https://doi.org/10.71712/