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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

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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 ).

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References

  1. V. Yu. Makarov, “Characteristics of power growth of a multidimensional exponential series”,Ukr. Mat. Zh.,46, No. 4, 438–442 (1994).

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  2. V. Yu. Makarov, “The characteristics of the sum of a multidimensional series”,Ukr. Mat. Zh.,46, No. 7, 886–892 (1994).

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Authors
  1. V. Yu. Makarov
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Additional information

Bryansk Pedagogical Institute, Bryansk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 9, pp. 1193–1200, September, 1999.

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Makarov, V.Y. 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 Math J 51, 1343–1351 (1999). https://doi.org/10.1007/BF02593001

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  • DOI: https://doi.org/10.1007/BF02593001

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