Vol. 26 (2015)
Articles

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

A. Dixit
Department of Mathematics, Tulane University, New Orleans, LA
V. H. Moll
Department of Mathematics, Tulane University, New Orleans, LA .

Published 2015-02-01

Keywords

  • Integrals,
  • Whittaker function,
  • hypergeometric functions

How to Cite

The integrals in Gradshteyn and Ryzhik Part 28: The confluent hypergeometric function and Whittaker functions. (2015). Scientia Series A: Mathematical Sciences, 26, 49-61. https://revistas.usm.cl/scientia/article/view/227

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.

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