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Combinatorial study of 2-iterated 2D-Appell polynomials and related polynomials
Journal of Mathematical Problems Equations and Statistics · 2021 · Vol. 2(2) · pp. 91–96
Abstract
In this paper we are interested by 2-iterated 2D-Appel polynomials, Using Bell polynomials, we revisit the proof of the explicit formulae and provide additional recurrence relation to these known in the literature. We end this study by the application of these results to 2D-Euler-Appell and 2D-Hermite-Appell polynomials.
Advanced Mathematical IdentitiesAdvanced Combinatorial MathematicsHistorical Astronomy and Related StudiesMathematicsDifference polynomialsOrthogonal polynomialsWilson polynomialsDiscrete orthogonal polynomialsHermite polynomialsClassical orthogonal polynomialsHahn polynomialsIterated functionGegenbauer polynomials
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