Integral representations for products of Airy functions. III: Quartic products
type: Item
instance of: scholarly article
title: Integral representations for products of Airy functions. III: Quartic products
zbMATH Open document ID: 0874.33004
DOI: 10.1007/PL00001482
author: W. H. Reid
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1997-11-13T00:00:00Z
review text: [For Part II, see the author in ibid. 48, No. 4, 646-655 (1997; reviewed above).] Integral representations are obtained for some quartic products of the Airy functions \(Ai(z)\) and \(Bi(z)\). These integral representations are particularly useful in obtaining the constants which appear in the asymptotic expansions of their integrals. Some of these results are also relevant to the connection problem for the second Painlevé transcendent.
reviewed by: Luigi Gatteschi
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 1057388
zbMATH Keywords: integral representations
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Airy functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1057388