Zeros of a certain class of Gauss hypergeometric polynomials.

Autor:	Abathun, Addisalem
Další autoři:	Bøgvad, Rikard
Jazyk:	angličtina
Předmět:	polynomy polynomials články journal articles asymptotic zero-distribution hypergeometric polynomial saddle point method
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: We prove that as n → ∞, the zeros of the polynomial 2F1[−n,αn+1αn+2;z] cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999-2001) to the case of a complex parameter α and partially proves a conjecture made by the authors in an earlier work.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink