Integral representations for products of Airy functions. II: Cubic products
type: Item
instance of: scholarly article
title: Integral representations for products of Airy functions. II: Cubic products
zbMATH Open document ID: 0874.33003
DOI: 10.1007/PL00001481
author: W. H. Reid
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1997-11-13T00:00:00Z
review text: [For Part I see the author in ibid. 46, No. 2, 159-170 (1995; Zbl 0824.33002).] Integral representations are obtained for some cubic products of the Airy functions \(Ai(z)\) and \(Bi(z)\). These integral representations are of the Laplace contour type but they involve the modified Bessel functions of order \(\frac{1}{6}\). From these results it is possible to evaluate a number of definite integrals involving such cubic products.
reviewed by: Luigi Gatteschi
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 1057387
zbMATH Keywords: integral representations
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Airy functions
zbMATH Keywords: Bessel functions
MaRDI profile type: Publication
full work available at URL: pl00001481
OpenAlex ID: W4251515883
description: scientific article; zbMATH DE number 1057387