Results 51 to 60 of about 10,388 (168)

Some Identities of Degenerate Bell Polynomials

Mathematics, 2020
The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim, Dae San Kim, Han Young Kim, Jongkyum Kwon   +3 more
doaj   +1 more source

Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,)

Journal of Applied Mathematics, 2013
Using bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight .
H. Y. Lee, C. S. Ryoo
doaj   +1 more source

A RECURRENCE RELATION FOR BERNOULLI NUMBERS

Bulletin of the Korean Mathematical Society, 2005
Acting on a suggestion of \textit{V. Namias} [Am. Math. Mon. 93, 25--29 (1986; Zbl 0615.05010)] the authors use the multiplication formula for the gamma function to derive the following family of recursions for Bernoulli numbers obtained by \textit{F. T. Howard} [J. Number Theory 52, No.
Can, Mümün, Cenkci, Mehmet, Kurt, Veli
openaire   +2 more sources

Bernoulli Numbers and Solitons — Revisited

Journal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Values of the Weighted 𝑞-Zeta and 𝐿-Functions

Discrete Dynamics in Nature and Society, 2011
Recently, the modified 𝑞-Bernoulli numbers and polynomials are introduced in (D. V. Dolgy et al., in press). These numbers are valuable to study the weighted 𝑞-zeta and 𝐿-functions.
T. Kim, S. H. Lee, Hyeon-Ho Han, C. S. Ryoo   +3 more
doaj   +1 more source

Some identities related to degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
The aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Taekyun Kim, Dae San Kim, Wonjoo Kim, Jongkyum Kwon   +3 more
doaj   +1 more source

An Arithmetical Theory of the Bernoulli Numbers [PDF]

Transactions of the American Mathematical Society, 1942
Not ...
openaire   +2 more sources

q-Bernoulli numbers and q-Bernoulli polynomials revisited

Advances in Difference Equations, 2011
This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
doaj  

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

Mathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci, Rekha Srivastava, Diego Caratelli   +2 more
doaj   +1 more source

On the Modified q-Bernoulli Numbers of Higher Order with Weight

Abstract and Applied Analysis, 2012
The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic p-adic q-integral on ℤp, we derive new identities of q-Bernoulli numbers and ...
T. Kim, J. Choi, Y.-H. Kim, S.-H. Rim
doaj   +1 more source