Josef Meixner: his life and his orthogonal polynomials
Paul L. Butzer, Tom H. Koornwinder
TL;DR
This paper reviews Josef Meixner's life, his motivation for studying orthogonal polynomials, and discusses his 1934 contributions, including the Meixner and Meixner-Pollaczek polynomials, along with historical context and reception.
Contribution
It provides a comprehensive historical and mathematical analysis of Meixner's work and its impact on orthogonal polynomial theory.
Findings
Detailed discussion of Meixner's 1934 paper and its significance.
Historical context of the Meixner polynomials' development.
Analysis of the reception and influence of Meixner's work.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.