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 ...
Let Tn(x) denote the n'th Tchebycheff polynomial, and let p be an odd prime. For any integer x, the rank of its residue class modulo p is defined to be the least positive integer r for which Tr(x) ≡ 1 ...
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