The study of polynomial sequences and their moment properties occupies a central role in contemporary mathematical research, bridging classical analysis with modern combinatorial theory. Polynomial ...
The polynomial-solutions of the self-adjoint differential equations $D\left[ {\exp \left( { - x_1^{2k}} \right)Dy} \right] + \lambda {x^{2k - 2}}\exp \left( { - {x ...
We discuss differential-difference properties of the extended Jacobi polynomials $$P_n(x) = _{p + 2}F_q(-n, n + \lambda, a_p; b_q; x)\quad (n = 0, 1,\ldots).$$ The ...
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