离散半经典正交多项式矩的递归关系

D. Dominici
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引用次数: 2

摘要

研究一类线性泛函L的矩ν n (z)所满足的递归关系,该线性泛函L的一阶矩满足具有多项式系数的微分方程。献给迪克·阿斯基(1933 - 2019),特级大师!课题分类代码:33C47(一级),33C20, 11B37(二级)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Recurrence relations for the moments of discrete semiclassical orthogonal polynomials
We study recurrence relations satisfied by the moments ν n ( z ) of a linear functional L whose first moment satisfies a differential equation (in z ) with polynomial coefficients. Dedicated to Dick Askey (1933 – 2019), Grandmaster of Special Functions! Subject Classification Codes: 33C47 (primary), 33C20, 11B37 (secondary).
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