An Application of Hypergeometric Functions in the Evaluation of a Gradshteyn-Ryzhik Integral

In this article, we evaluate an interesting integral from the famous book of integrals by Gradshteyn and Ryzhik, which, in its seventh edition, includes an incorrect result. We derive the correct value. Moreover, we highlight the application of the hypergeometric functions formalism in the evaluation of this integral.

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Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/02.2025/jairo
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00
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article

An Application of Hypergeometric Functions in the Evaluation of a Gradshteyn-Ryzhik Integral

J. A. Suárez, Juan Carreno, Rosalba Suarez
International journal of mathematics and computer science
Advanced Numerical Analysis Techniques
article

An Application of Hypergeometric Functions in the Evaluation of a Gradshteyn-Ryzhik Integral

J. A. Suárez, Juan Carreno, Rosalba Suarez
article en

Abstract

In this article, we evaluate an interesting integral from the famous book of integrals by Gradshteyn and Ryzhik, which, in its seventh edition, includes an incorrect result. We derive the correct value. Moreover, we highlight the application of the hypergeometric functions formalism in the evaluation of this integral.

International journal of mathematics and computer science
Openalex Percentile: Top 99%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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An Application of Hypergeometric Functions in the Evaluation of a Gradshteyn-Ryzhik Integral — J. A. Suárez, Juan Carreno, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS