The integrals in Gradshteyn and Ryzhik Part 28: The confluent hypergeometric function and Whittaker functions

A. Dixit; V. H. Moll

doi:10.71712/

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Published: 2025-08-08

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

Keywords:

Integrals, Whittaker function, hypergeometric functions

A. Dixit

Department of Mathematics, Tulane University, New Orleans, LA

V. H. Moll

Department of Mathematics, Tulane University, New Orleans, LA .

Abstract

The table of Gradshteyn and Ryzhik contains many entries where the integrand contains the confluent hypergeometric function \(_{1}F_{1}(a;c;z)\) and a closely associated function studied by Whittaker. A selection of these entries are evaluated.

Issue

Vol. 26 (2015)

Section

Articles

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

How to Cite

A. Dixit, & V. H. Moll. (2025). The integrals in Gradshteyn and Ryzhik Part 28: The confluent hypergeometric function and Whittaker functions. Scientia Series A: Mathematical Sciences, 26, 49-61. https://doi.org/10.71712/