The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions | Scientia Series A: Mathematical Sciences

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Integrals, Bessel Functions, automatic proofs, method of brackets

Larry Glasser

Department of Mathematics, Clarkson University, P.O. Box 5820, Postdam, NY 13699-5820 U.S.A

Karen T. Kohl

Department of Mathematics, University of Southern Mississippi-Gulf Coast, Long Beach, MS 39560, U.S.A

Christoph Koutschan

Research Institute for Symbolic Computation (RISC), Johannes Kepler University, A-4040 Linz, Austria

Victor H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118 U.S.A

Armin Straub

Department of Mathematics, Tulane University, New Orleans, LA 70118 U.S.A

Abstract

The table of Gradshteyn and Ryzhik contains many integrals that can be evaluated using the modified Bessel function. Some examples are discussed and typos in the table are corrected.

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

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How to Cite

Larry Glasser, Karen T. Kohl, Christoph Koutschan, Victor H. Moll, & Armin Straub. (2025). The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions. Scientia Series A: Mathematical Sciences, 22, 129-151. https://doi.org/10.71712/

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