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

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

doi:10.71712/

PDF (inglés)

Publicado: 2025-08-08

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

Palabras clave:

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

Resumen

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.

Número

Vol. 18 (2009)

Sección

Articles

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

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