Josef Meixner: his life and his orthogonal polynomials
arXiv:1609.02588 · doi:10.1016/j.indag.2018.09.009
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.
v5: 18 pages, expressions of weights for Meixner polynomials on p.6 and weight function for Meixner-Pollaczek polynomials on p.7 corrected