A generalization of the discrete Rodrigues formula for Meixner polynomials

В. Н. Сорокин

Type: Article

Publication Date: 2022-01-01

Citations: 2

DOI: https://doi.org/10.4213/sm9765

Abstract

Изучается обобщение многочленов Мейкснера, приводящее к новой конструкции приближений Апери. В терминах алгебраических функций получено предельное распределение нулей масштабированных многочленов. Это распределение является решением некоторой векторной задачи равновесия теории логарифмического потенциала. Библиография: 21 название.

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Works Cited by This (17)

Action	Title	Year	Authors
+	ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE REAL AXIS	1984	Евгений Андреевич Рахманов
+	Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable	1996	Evguenii Andreevich Rakhmanov
+	A new proof of the irrationality of ζ(2) and ζ(3) using Padé approximants	1996	Marc Prévost
+	Hermite-Pade approximants for systems of Markov-type functions	1997	A A Gonchar Евгений Андреевич Рахманов В. Н. Сорокин
+	Some Hypergeometric Orthogonal Polynomials	1980	James Wilson
+	On multiple orthogonal polynomials for discrete Meixner measures	2010	В. Н. Сорокин
+ PDF Chat	Nombres Exponentiels Et Nombres De Bernoulli	1956	Jacques Touchard
+ PDF Chat	О многочленах совместной ортогональности для дискретных мер Мейкснера	2010	В. Н. Сорокин В. Н. Сорокин
+	On asymptotic regimes for the multiple Meixner polynomials	2016	В. Н. Сорокин
+	Angelesco-Meixner polynomials	2017	В. Н. Сорокин