New Mixed Recurrence Relations of Two-Variable Orthogonal Polynomials via Differential Operators
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Authors: M. M. MAKKY AND M. SHADAB
DOI: 10.46793/KgJMat2403.383M
Abstract:
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 Ξ =
and Δ = 
. We also derive some special
cases of our main results.
Keywords:
Jacobi polynomials, Legendre polynomials, Bateman’s polynomials, differential operators.
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