Recurrence relations for orthogonal polynomials on a triangle
Recurrence relations for orthogonal polynomials on a triangle
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三角形上的正交多项式的递推关系
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
G. Vasil
中科院分区：
文献类型：
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作者：
S. Olver;Alex Townsend;G. Vasil
本文导出了三角形上正交多项式与其偏导数之间的稀疏递推关系，类似于雅可比多项式的递推关系。我们通过引入梯形运算符以系统的方式导出这些递归，这些梯形运算符通过递增或递减相关参数来将一个正交多项式映射到另一个。
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partial derivatives, which are analogous to recurrence relations for Jacobi polynomials. We derive these recurrences in a systematic fashion by introducing ladder operators that map an orthogonal polynomial to another by incrementing or decrementing its associated parameters by one.