Josef Meixner: his life and his orthogonal polynomials

Fuente: arXiv
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Auteurs principaux: Butzer, Paul L., Koornwinder, Tom H.
Format: Preprint
Publié: 2016
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author Butzer, Paul L.
Koornwinder, Tom H.
author_facet Butzer, Paul L.
Koornwinder, Tom H.
contents This paper starts with a biographical sketch of the life of Josef Meixner. Then his motivations to work on orthogonal polynomials and special functions are reviewed. Meixner's 1934 paper introducing the Meixner and Meixner-Pollaczek polynomials is discussed in detail. Truksa's forgotten 1931 paper, which already contains the Meixner polynomials, is mentioned. The paper ends with a survey of the reception of Meixner's 1934 paper.
format Preprint
id arxiv_https___arxiv_org_abs_1609_02588
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Josef Meixner: his life and his orthogonal polynomials
Butzer, Paul L.
Koornwinder, Tom H.
History and Overview
Classical Analysis and ODEs
33-03, 01A60, 01A70, 33C45
This paper starts with a biographical sketch of the life of Josef Meixner. Then his motivations to work on orthogonal polynomials and special functions are reviewed. Meixner's 1934 paper introducing the Meixner and Meixner-Pollaczek polynomials is discussed in detail. Truksa's forgotten 1931 paper, which already contains the Meixner polynomials, is mentioned. The paper ends with a survey of the reception of Meixner's 1934 paper.
title Josef Meixner: his life and his orthogonal polynomials
topic History and Overview
Classical Analysis and ODEs
33-03, 01A60, 01A70, 33C45
url https://arxiv.org/abs/1609.02588