Geodesic
A generalization of the discrete Rodrigues formula for Meixner polynomials
Sbornik. Mathematics, Tome 213 (2022) no. 11, pp. 1559-1581 Cet article a éte moissonné depuis la source Math-Net.Ru

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A generalization of Meixner polynomials leading to a new construction of Apéry approximations is put forward. The limiting distribution of the zeros of scaled polynomials is described in terms of algebraic functions. The resulting distribution is shown to be a solution of some vector equilibrium problem in the theory of logarithmic potential. Bibliography: 21 titles.
Keywords: Meixner polynomials, saddle-point method, algebraic functions, equilibrium problem.
Mots-clés : discrete Rodrigues formula, Apéry approximations 
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V. N. Sorokin. A generalization of the discrete Rodrigues formula for Meixner polynomials. Sbornik. Mathematics, Tome 213 (2022) no. 11, pp. 1559-1581. http://geodesic.mathdoc.fr/item/SM_2022_213_11_a5/

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