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

V Yu Makarov

doi:10.1007/bf02593001

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

V Yu Makarov

https://doi.org/10.1007/bf02593001

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Journal: Ukrainian Mathematical Journal

Publication Date: Sep 1, 1999

#Neighborhood Of Singular Points #Coefficients Of Series #Neighborhood Of Points #Exponential Series #Singular Points #Asymptotic Behavior

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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 ).

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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