2017
Том 69
№ 9

Всі номери

The characteristics of the sum of a multidimensional series

Макаров В. Л.

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Абстракт

We study the relationship between the asymptotic behavior of coefficients of a multidimensional series of exponents and the asymptotic behavior of its sum near a point on the boundary of the domain of convergence. Growth characteristics, an order $\rho_Q(a)$, and a type $\sigma_{Q \beta}(a)$ in an octant $Q(a)$ are determined. The dependence of growth characteristics on the coordinates of points of the boundary of the domain of convergence is established.

Англомовна версія (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 971-978.

Зразок цитування: Макаров В. Л. The characteristics of the sum of a multidimensional series // Укр. мат. журн. - 1994. - 46, № 7. - С. 886–892.

Повний текст