Geodesic
New Mixed Recurrence Relations of Two-Variable Orthogonal Polynomials via Differential Operators
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 383 .

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In this paper, we derive new recurrence relations for two-variable orthogonal polynomials for example Jacobi polynomial, Bateman's polynomial and Legendre polynomial via two different differential operators $\Xi =\left(\frac{\partial }{\partial z} +\sqrt{w} \frac{\partial }{\partial w} \right)$ and $\Delta =\left(\frac{1}{w} \frac{\partial }{\partial z} +\frac{1}{z} \frac{\partial }{\partial w} \right)$. We also derive some special cases of our main results.
DOI : 10.46793/KgJMat2403.383M
Classification : 33C45, 33C47, 11B37
Keywords: Jacobi polynomials, Legendre polynomials, Bateman’s polynomials, differential operators 
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Mosaed M. Makky; Mohammad Shadab. New Mixed Recurrence Relations of Two-Variable Orthogonal Polynomials via Differential Operators. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 383 . doi : 10.46793/KgJMat2403.383M. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.383M/

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