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Zbl 0866.65011
Olde Daalhuis, A.B.
Hyperdeterminants. I. (English)
[J] J. Comput. Appl. Math. 76, No.1-2, 255-264 (1996). ISSN 0377-0427

Hyperasymptotic expansions are given in terms of certain multiple integrals, the so-called hyperdeterminants. In the first section, the author gives the definition of the hyperdeterminants, and obtains several simple properties. Next section deals with an illustration of the role of the hyperdeterminants in global hyperasymptotic expansions. The main section contains a new integral representations for the hyperdeterminants. With these integral representations, the author is able to obtain convergent series expansions for the hyperdeterminants. These convergent expansions can be used to compute the hyperdeterminants to arbitrary precision.
[R.S.Dahiya (Ames)]

MSC 2000:: *65D20 Computation of special functions
41A60 Asymptotic problems in approximation

Keywords: hyperasymptotic expansions; multiple integrals; hyperdeterminants; integral representations; series expansions

Cited in: Zbl 0910.34014

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