A representation of a solution of a homogenous convolution equation as the series of exponential monomials

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Doklady Bashkirskogo Universiteta. 2019. Volume 4. No. 2. pp. 150-152.

Authors

Krivosheeva O. A.*
Bashkir State University
32 Zaki Validi Street, 450076 Ufa, Republic of Bashkortostan, Russia

Abstract

In the paper multiple sequences of different complex numbers and some of their characteristics are studied. In particular, the condensation index of such sequences are considered. This index plays an important role in the study of interpolation problems and the fundamental principle, as well as in solving the problem of distribution of singular points of the sum of a series of exponential monomials located at the boundary of its convergence domain. Estimates for special polynomials are obtained.

Keywords

  • a multiple sequence of complex numbers
  • condensation index
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