Sufficient Conditions for the Existence of the υ $$ \upsilon $$ -Density of Zeros for an Entire Function of Order Zero

Autor:	M. R. Mostova, M. V. Zabolots’kyi
Rok vydání:	2016
Předmět:	010101 applied mathematics General Mathematics Entire function 010102 general mathematics Mathematical analysis Order zero Logarithmic derivative 0101 mathematics Algebra over a field 01 natural sciences Fourier series Mathematics
Zdroj:	Ukrainian Mathematical Journal. 68:570-582
ISSN:	1573-9376 0041-5995
Popis:	We select subclasses of zero-order entire functions f for which we present sufficient conditions for the existence of the $$ \upsilon $$ -density of zeros of f in terms of the asymptotic behavior of the logarithmic derivative F and regular growth of the Fourier coefficients of F.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1068e5c96df222eb27cf5bb2b1ff44c2 https://doi.org/10.1007/s11253-016-1242-1 Zobrazit plný text záznamu Plný text ve formátu PDF