On multiple orthogonal polynomials for three Meixner measures
- 作者: Sorokin V.N.1
-
隶属关系:
- Faculty of Mechanics and Mathematics
- 期: 卷 298, 编号 1 (2017)
- 页面: 294-316
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175067
- DOI: https://doi.org/10.1134/S0081543817060189
- ID: 175067
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详细
Multiple orthogonal polynomials for three discrete Meixner measures with identical exponential decay at infinity are studied. These polynomials are the denominators of the type II Hermite–Padé approximants to some hypergeometric functions. The limit distribution of zeros of such polynomials scaled in a certain way is described in terms of equilibrium logarithmic potentials and in terms of algebraic curves.
作者简介
V. Sorokin
Faculty of Mechanics and Mathematics
编辑信件的主要联系方式.
Email: vladimirs1957@gmail.com
俄罗斯联邦, Moscow, 119991
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