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Poly-Bernoulli polynomials arising from umbral calculus
Dae san Lom, Taekyun Kim
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Poly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint [PDF]
Dae San Kim, Taekyun Kim
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Umbral Calculus, Bailey Chains, and Pentagonal Number Theorems
George E. Andrews
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Frobenius-Euler polynomials and umbral calculus in the p-adic case [PDF]
Dae San Kim+3 more
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Determinantal representations in umbral calculus
In this paper, we construct a duality functor for affine rational curves given by polynomials in echelon form. This provides an explicit way to realize dual bases for the classical polarity pairing, and also yields known results on determinantal representations of Appell sequences of polynomials.
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