2019
Том 71
№ 9

All Issues

Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points

Makarov V. Yu.

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Abstract

We study the relation of the asymptotic behavior of the coefficients of multidimensional exponential series to the asymptotic behavior of its sum by using theR-order of the growthp QR (a 1,...,a n ) in an octantQ(a 1,...,a n ).

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1343-1351.

Citation Example: Makarov V. Yu. Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1193–1200.

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