Zobrazeno 1 - 3
of 3
pro vyhledávání: '"A. M. Gaīsin"'
Publikováno v:
Проблемы анализа, Vol 12 (30), Iss 3, Pp 3-19 (2023)
We study the asymptotic behavior of the sum of en- tire Dirichlet series with positive exponents on curves of a bounded slope going in a certain way to infinity. For entire transcendental functions of finite order, Polia showed that if the density
Externí odkaz:
https://doaj.org/article/cb5adc1fff9a444a848d3661b9eeda49
Autor:
A. M. Gaisin, N. N. Aitkuzhina
Publikováno v:
Проблемы анализа, Vol 11 (29), Iss 3, Pp 30-44 (2022)
We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of
Externí odkaz:
https://doaj.org/article/dc6729417d00491c8784b13547770c72
Autor:
A. M. Gaīsin, T. I. Belous
Publikováno v:
Siberian Mathematical Journal. 44:22-36
We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0bdd0fb63e229b9054654e3b2879eee
https://doi.org/10.1023/a:1022004102200
https://doi.org/10.1023/a:1022004102200