Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...
Integrable systems and orthogonal polynomials form a vibrant research frontier that bridges pure and applied mathematics. Integrable systems are distinguished by their rich symmetry properties and the ...
In this paper, we show that for several second-order partial differential equations \begin{align*}L[u] &= A(x,y)u_{xx} + 2B(x,y)u_{xy} + C(x,y)u_{yy} + D(x,y)u_x + E ...
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