Results 151 to 160 of about 7,952 (182)

Identities for the Bernoulli and Euler numbers and polynomials.

Ars Comb., 2012
Summary: In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb Z_p\).
Taekyun Kim 0001, B. Lee, S. H. Lee, Seog-Hoon Rim   +3 more
openaire   +1 more source

Explicit formulas for the Bernoulli and Euler polynomials and numbers

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1991
In this paper the main result (Theorem 2) gives the following formula for the Bernoulli polynomials \(B_ n(x)\) \[ (te^{tx}/(e^ t-1)=\sum^ \infty_{n=0}B_ n(x)t^ n/n!,\quad | t|
openaire   +1 more source

Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals

Numerical Functional Analysis and Optimization, 2009
The nth order derivatives of tan x and sec x may be represented by polynomials P n (u) and Q n (u) in u = tan x, which are known as the derivative polynomials for the tangent and secant and have occurred in diverse contexts. In this paper, explicit representations of P n (u) and Q n (u) are derived in terms of the central factorial numbers of the ...
Ching-Hua Chang, Chung-Wei Ha
openaire   +1 more source

CLOSE LINKS OF BERNOULLI AND EULER NUMBERS AND POLYNOMIALS WITH SYMMETRIC FUNCTIONS

Rocky Mountain Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bouzeraib, Meryem, Boussayoud, Ali, Saba, Nabiha, Aloui, Baghdadi   +3 more
openaire   +2 more sources

Some explicit formulas for the Bernoulli and Euler numbers and polynomials

International Journal of Mathematical Education in Science and Technology, 1988
A systematic investigation of various explicit representations for the Bernoulli and Euler numbers and polynomials is presented, and some interesting generalizations of these results are proved.
openaire   +1 more source

Carlitz’s q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junesang Choi, P. J. Anderson, H. M. Srivastava 0001   +2 more
openaire   +1 more source

Identities on the bernoulli and the euler numbers and polynomials

2012
International ...
openaire   +1 more source

Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function

2003
Certain q-Fourier expansions found in the previous chapter give us a possibility to introduce analogs of the Bernoulli polynomials and numbers, the Euler polynomials and numbers, and the Riemann zeta function [146]. We shall study some of their properties that are close to the classical ones.
openaire   +1 more source

Identities for the bernoulli, the euler and the genocchi numbers and polynomials

2010
International ...
openaire   +1 more source

Collocation approaches to the mathematical model of an Euler–Bernoulli beam vibrations

Mathematics and Computers in Simulation, 2022
Seda Cayan, B Burak Özhan
exaly