Hyperterminants. II
type: Item
instance of: scholarly article
title: Hyperterminants. II
zbMATH Open document ID: 0910.34014
DOI: 10.1016/S0377-0427(97)00220-3
author: D. Massart
published in: Journal of Computational and Applied Mathematics
publication date: 1999-04-19T00:00:00Z
review text: This paper is in continuation of computation to arbitrary precision of hyperterminants that occur in hyperasymptotic expansions for solutions to second-order linear differential equations and integrals with two saddles [the author, part I, J. Comput. Appl. Math. 76, No. 1-2, 255-264 (1996; Zbl 0866.65011)]. The author concerns the computation of the hyperterminants that occur in hyperasymptotic expansions of higher-order linear differential equations, nonlinear differential equations and integrals with more than two saddles. The author gives new integral representations for the hyperterminants. With these integral representations, the author is able to obtain convergent and computable series expansions for hyperterminants. Another feature of the results is the occurence of hypergeometric functions.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 1180785
zbMATH Keywords: hyperterminants
zbMATH Keywords: hyperasymptotic expansions
zbMATH Keywords: nonlinear differential equations and integrals
zbMATH Keywords: hypergeometric functions
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
cites work: Q3661894
cites work: Hyperasymptotics for integrals with saddles
cites work: Hyperasymptotics for integrals with finite endpoints
cites work: Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem
cites work: Hyperdeterminants. I
cites work: Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
cites work: Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
cites work: AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
full work available at URL: s0377-0427(97)00220-3
OpenAlex ID: W2911805937
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description: scientific article; zbMATH DE number 1180785