Asymptotic of the coefficients of factorized Eulerian polynomials
type: Item
instance of: scholarly article
title: Asymptotic of the coefficients of factorized Eulerian polynomials
zbMATH Open document ID: 0663.05004
DOI: 10.1007/BF00968957
published in: Siberian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: Asymptotic expansions for the coefficients of the factorized Eulerian polynomials \(F_ n(\lambda)=\prod^{n}_{k=1}(\lambda +\lambda_{2n,k})=\sum^{n}_{k=0}F_{n,k}\lambda_ k\) are given using the local limit theorem and Sobolev estimates on zeros of Eulerian polynomials.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 4083629
zbMATH Keywords: Asymptotic expansions
zbMATH Keywords: factorized Eulerian polynomials
zbMATH Keywords: local limit theorem
zbMATH Keywords: Sobolev estimates
author: A. A. Borovkov
author: V. I. Lotov
author: A. I. Sakhanenko
MaRDI profile type: Publication
cites work: Q3243274
cites work: Solution by the establishment method of boundary value problems on eigenvalues
cites work: Asymptotic properties of eulerian numbers
cites work: Q4085018
cites work: Q5512461
full work available at URL: https://doi.org/10.1007/bf00968957
OpenAlex ID: W2093888462
description: scientific article; zbMATH DE number 4083629