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arXiv · 1801.09099

Recurrence relations for orthogonal polynomials on a triangle

Sheehan Olver·Alex Townsend·Geoff Vasil
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Abstract

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.

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Sheehan Olver, Alex Townsend, Geoff Vasil. 2018-01-27. Recurrence relations for orthogonal polynomials on a triangle. https://arxiv.org/abs/1801.09099

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