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
V. Yu. Makarov, “Characteristics of power growth of a multidimensional exponential series”,Ukr. Mat. Zh.,46, No. 4, 438–442 (1994).
V. Yu. Makarov, “The characteristics of the sum of a multidimensional series”,Ukr. Mat. Zh.,46, No. 7, 886–892 (1994).
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