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Zbl 0910.34014
Olde Daalhuis, A.B.
Hyperterminants. II. (English)
[J] J. Comput. Appl. Math. 89, No.1, 87-95 (1998). ISSN 0377-0427

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.
[R.S.Dahiya (Ames)]

MSC 2000:: *34A25 Analytical theory of ODE
33C15 Confluent hypergeometric functions

Keywords: hyperterminants; hyperasymptotic expansions; nonlinear differential equations and integrals; hypergeometric functions

Citations: Zbl 0866.65011

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