Une identité pour des polynômes d'Appell

Bencherif, Farid; Benzaghou, Benali; Zerroukhat, Schehrazade

doi:10.1016/j.crma.2017.11.002

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“…Recently, Bencherif, Benzaghou and Zerroukhat [4] established an identity for some Appell polynomials generalizing explicit formulas for generalized Bernoulli numbers and polynomials. Since a 0 = 0, there exists the formal power series (for some d n ∈ C)…”

Section: Introductionmentioning

confidence: 99%

Explicit expressions for the related numbers of higher order Appell polynomials

Komatsu

2019

Quaestiones Mathematicae

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In this note, by using the Hasse-Teichmüller derivatives, we obtain two explicit expressions for the related numbers of higher order Appell polynomials. One of them presents a determinant expression for the related numbers of higher order Appell polynomials, which involves several determinant expressions of special numbers, such as the higher order generalized hypergeometric Bernoulli and Cauchy numbers, thus recovers the classical determinant expressions of Bernoulli and Cauchy numbers stated in an article by Glaisher in 1875.

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Section: Introductionmentioning

confidence: 99%