Josef Meixner: His life and his orthogonal polynomials

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,...

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Bibliographic Details
Published inIndagationes mathematicae Vol. 30; no. 1; pp. 250 - 264
Main Authors Butzer, Paul L., Koornwinder, Tom H.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.2019
Elsevier Science Ltd
Subjects
Functions (mathematics)
Mathematical analysis
Polynomials
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Summary: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.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2018.09.009