The integrals in Gradshteyn and Ryzhik. Part 6: The beta function | Scientia Series A: Mathematical Sciences

PDF

Published: 2025-08-08

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

Keywords:

Integrals, beta function

Victor H. Moll

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

Abstract

We present a systematic derivation of some definite integrals in the classical table of Gradshteyn and Ryzhik that can be reduced to the beta function.

Issue

Section

Articles

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Moll, V. H. (2025). The integrals in Gradshteyn and Ryzhik. Part 6: The beta function. Scientia Series A: Mathematical Sciences, 16, 9-24. https://doi.org/10.71712/

Most read articles by the same author(s)

Olena Kozhushkina, Maila Brucal Hallare, Jane Long, Victor H. Moll, Jean-Claude Pedjeu, Bianca Thompson, Justin Trulen , The valuation tree for \(\ n^2 + 7\) , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
Michael Logal, Victor H. Moll, A note on integration by parts , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)
Lori Mancuso, Judith Nowalski, Victor H. Moll, Leonardo Solanilla, Cutting the lemminscate of Fagnano into equal parts , Scientia Series A: Mathematical Sciences: Vol. 31 (2021)
Khristo N. Boyadzhiev, Luis A Medina, Victor H. Moll, The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function , Scientia Series A: Mathematical Sciences: Vol. 18 (2009)
George Boros, Victor H. Moll, Sarah Riley, An elementary evaluation of a quartic integral , Scientia Series A: Mathematical Sciences: Vol. 11 (2005)
Tewodros Amdeberhan, Victor H. Moll, The Integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples , Scientia Series A: Mathematical Sciences: Vol. 16 (2008)
Victor H. Moll, The valuation of Catalan numbers , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
Victor H. Moll, The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials , Scientia Series A: Mathematical Sciences: Vol. 15 (2007)
Luis A. Medina, Victor H. Moll, The integrals in Gradshteyn and Ryzhik. Part 10: The digamma function , Scientia Series A: Mathematical Sciences: Vol. 17 (2009)
Victor H. Moll, William Sean Hendarto, A simple evaluation of the quartic integral , Scientia Series A: Mathematical Sciences: Vol. 34 (2024)

<< < 1 2 3 > >>