Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials

2010/09/13 by Vignat, C.
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.2396

Abstract

We revisit in a probabilistic framework the umbral approach of Bernoulli, Euler and Carlitz Hermite polynomials by Gessel [1].

Related

• Representations by probabilistic Bernoulli and degenerate Bernoulli polynomials
• A note on the generalized Bernoulli and Euler Polynomials
• Some nonlinear functions of Bernoulli and Euler umbrae
• Representations by probabilistic Frobenius-Euler and degenerate Frobenius-Euler polynomials
• A probabilistic approach to q-polynomial coefficients, Euler and Stirling numbers