关于正交多项式序列及其递推系数：1

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-06-16 DOI:10.1007/s11005-025-01963-8

D. Mbouna

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引用次数: 0

摘要

继D. Mbouna[左]。数学。[物理学报，114:54,2024]，提供了一种新的方法来识别和表征仅由三项递归关系定义在二次格上的经典正交多项式序列。该表征包括Askey格式中的所有正交多项式（包括para-Krawtchouk多项式），涵盖了所有定义在线性格和常数格上的正交多项式。这项工作为一些已知的物理问题提出了一个简单的、可实现的算法/包。

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On an orthogonal polynomial sequence and its recurrence coefficients: II

Following D. Mbouna [Lett. Math. Phys. 114:54, 2024], a new method is provided to recognize and characterize a classical orthogonal polynomial sequence defined on a quadratic lattice only by the three-term recurrence relation. This characterization includes all orthogonal polynomials in the Askey scheme (including the para-Krawtchouk polynomials), covering then all those defined on linear and constant lattices. This work suggests a simple and implementable algorithm/package for some known physical problems.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.