4 problems

Let $\{p_n(x)\}_{n=m}^{\infty}$ be a family of exceptional orthogonal polynomials with weight function … where $W_0(x)$ is the weight function of a classical orthogonal polynomial…

Let $\mathtt{H}_{\xi_1},\ldots,\mathtt{H}_{\xi_\ell}$ be Hermite polynomials, and let the associated partition be … Write $d_{\xi}$ for the quantity associated with the index seque…

Let $L^{I,\,\delta}_{1,n'}(y)$ be the type I exceptional Laguerre polynomial, with $\delta=d-1/2$ and degree $N=n'+1$, obtained in the construction above. The parameters $n'$ and…

In $k$th-order supersymmetric quantum mechanics with $k>2$, let $bc$ denote the type of the extended radial oscillator potentials and the corresponding exceptional orthogonal polyn…