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.

Downloads

Download data is not yet available.

Issue

Section

Articles

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

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)

Derek Chen, Sheryar Choudhry, Adina-Raluca Corcau, Tyler Dunaisky, Blaine Larson, Drew Leahy, Xiang Li, Michael Logal, Alexander R. McCurdy, Qiusu Miao, Paramjyoti Mohapatra, Victor H. Moll, Chi Nguyen, Olivia Peterson, Naveena Ragunathan, Vaishavi Sharma, Brandon Sisler, Rosalie Tarsala, Hassan Zayour, The integrals in Gradshteyn and Ryzhik. Part 31: Forms containing binomials , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)
Derek Chen, Tyler Dunaisky, Alexander R. McCurdy, Victor H. Moll, Chi Nguyen, Vaishavi Sharma, The integrals in Gradshteyn and Ryzhik. Part 32: Powers of trigonometric functions , Scientia Series A: Mathematical Sciences: Vol. 32 (2022)
Victor H. Moll, Michael Henry, A special collection of definite integrals , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
T. Amdeberhan, Victor H. Moll, Vaishavi Sharma, Christophe Vignat, The valuations of power sums , Scientia Series A: Mathematical Sciences: Vol. 35 (2025)
Leyda Almodovar, Alyssa N. Byrnes, Julie Fink, Xiao Guan, Aashita Kesarwani, Gary Lavigne, Victor H. Moll, Luis A. Medina, Isabelle Nogues, Eric Rowland, Amber Yuan, A closed-form solution might be given by a tree. Valuations of quadratic polynomials , Scientia Series A: Mathematical Sciences: Vol. 29 (2019)
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul, Stephan Ramon García, Jaaziel Lopez de la Luz, Victor H. Moll, Diego Villamizar, Yunied Puig, Symmetric tensor powers of graphs , Scientia Series A: Mathematical Sciences: Vol. 36 (2026)
Tewodros Amdeberhan, Victor H. Moll, Armin Straub, Pat Whitworth, The integrals in Gradshteyn and Ryzhik.Part 9: Combinations of logarithms, rational andtrigonometric functions. , Scientia Series A: Mathematical Sciences: Vol. 17 (2009)
Victor H. Moll, Christophe Vignat, Integrals involving Bernoulli and Euler polynomials , Scientia Series A: Mathematical Sciences: Vol. 30 (2020)
Victor H. Moll, The Arithmetic-Harmonic mean and Landen transformations , Scientia Series A: Mathematical Sciences: Vol. 29 (2019)
Kristina VanDusen, Ivan gonzález, Victor H. Moll, A Comparison of the Method of Brackets with the method of Negative Dimension , Scientia Series A: Mathematical Sciences: Vol. 34 (2024)

1 2 3 > >>