Outcomes of the Abel Identity

Mathematics – Combinatorics

Scientific paper

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Scientific paper

Through symbolic methods, we state explicit formulae for Tchebychev,
Gegenbauer, Meixner, Mittlag-Leffler, and Pidduck polynomials. This is done by
underlining the crucial role played by the Abel identity in revisiting the
Lagrange inversion formula and the theory of the Riordan arrays.

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