The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function

Khristo N. Boyadzhiev; Luis A Medina; Victor H. Moll

doi:10.71712/

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Published: 2025-08-08

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

Keywords:

Integrals, Incomplete beta function, digamma function

Khristo N. Boyadzhiev

Department of Mathematics, Ohio Northern University, Ada, OH 45810, USA

Luis A Medina

Department of Mathematics, Rutgers University, New Brunswick, NJ 08854-8019, USA

Victor H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118, USA

Abstract

The table of Gradshteyn and Rhyzik contains some integrals that can be expressed in terms of the incomplete beta function. We describe some elementary properties of this function and use them to check some formulas in the mentioned table.

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Issue

Vol. 18 (2009)

Section

Articles

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

How to Cite

Boyadzhiev, K. N., Medina, L. A., & Moll, V. H. (2025). The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function. Scientia Series A: Mathematical Sciences, 18, 61-75. https://doi.org/10.71712/