Daehee Numbers and polynomials
By Dae San Kim, Taekyun Kim. 2013
135 citations recorded by the source corpus.
We consider the Witt-type formula for Daehee numbrers and polynomials and investigate some properties of those numbers and polynomials. In particular, Daehee numbers are closely related to higher-order Bernoulli numbers and Bernoulli numbers of the second kind.
Subfields: Algebra and Number Theory, Molecular Biology, Spectroscopy
View Paper: https://www.semanticscholar.org/paper/de02abf35a35de6fe7eb850d3f93536f6de62b6e
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In Algebra and Number Theory
In Molecular Biology
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Citations in the corpus
- New results on higher-order Daehee and Bernoulli numbers and polynomials (2015, background): “xt = X∞ n=0 B(α) n (x) tn n! . (1.1) When x =0,B(α) n =B (α) n (0)are the Bernoulli numbers of order α, defined by t (et −1 α = X∞ n=0 B(α) n tn n! . (1.2) The Daehee polynomials are defined by, see [11, 12] and [15]. log(1+t) t (1+t)x = X∞ n=0 Dn(x) tn n! . (1.3) ∗Corresponding author: b desouky@y”
- Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials. (2019, background): “[49] defined the Daehee polynomials of the first and second kind, respectively, as follows: (2.”
- Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals (2018, unknown): “[5, 8]), we also get the following combinatorial sums: Theorem 11 ∫ X Yn,χ(z;λ, q)dμ1 (z) = n ∑”