Results 141 to 150 of about 2,043 (239)

Bernoulli Polynomial Approach to High-Order Linear Differential-Difference Equations

open access: yes
In this paper, a Bernoulli matrix method is developed to find an approximate solution of high- order linear differential difference equations with variable coeffcients under the mixed conditions.
Erdem, K, Yalçinbas, S
core  

GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS

open access: yes, 2014
We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
openaire   +4 more sources

Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials

open access: yes
The Hermite polynomials can be represented to the moments of normal distribution by the work of Withers [2000. A simple expression for the multivariate Hermite polynomials. Statist. Probab. Lett. 47, 165-169].
Sun, Ping
core  

Q-bernoulli matrices and its properties

open access: yes, 2013
Bu çalışmada q-Bernoulli sayıları ve polinomları kullanılarak q-Bernoulli matrisleri tanımlandı. Ayrıca q-Bernoulli matrisinin tersi elde edildi. Sonra q- Pascal matrisi ile q-Bernoulli polinom matrisinin çarpanlaması yapıldı. Stirling sayılarının tanımı
Kuş, Semra
core  

Inventio summae cuiusque seriei ex dato termino generali

open access: yes
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor series, builds a Bernoulli polynomial and uses it to evaluate 0n + 1n + 2n + 3n + ... + (x-1)n, (x = 1, 2, 3, ...) and gets the relationship (B+1)n+1 – Bn+
Euler, Leonhard
core   +1 more source

Reciprocity formulae for general Dedekind-Rademacher sums.

open access: yes, 1995
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, y, z modulo 1, by the formula Sm, n\pmatrix a amp; b amp; c\\ x amp; y amp; z\endpmatrix= \sumh\pmod c \overline Bm \Biggl( ah+ z\over c- x\Biggr ...
Hall, R.   +3 more
core  

Single-Input Bernoulli-Polynomial WASD Neuronet

open access: yes, 2019
Yunong Zhang, Dechao Chen, Chengxu Ye
core   +1 more source

On the Euler and Bernoulli polynomials.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1969
openaire   +2 more sources

Q-bernoulli matrisleri ve özellikleri

open access: yes, 2013
Bu çalışmada q-Bernoulli sayıları ve polinomları kullanılarak q-Bernoulli matrisleri tanımlandı. Ayrıca q-Bernoulli matrisinin tersi elde edildi. Sonra q- Pascal matrisi ile q-Bernoulli polinom matrisinin çarpanlaması yapıldı. Stirling sayılarının tanımı
SEMRA KUŞ
core  

A Pressure Projection Scheme With Near‐Spectral Accuracy for Nonhydrostatic Flow in Domains With Open Boundaries

open access: yes
We describe a pressure projection scheme for the simulation of incompressible flow in cubic domains with open boundaries based on fast Fourier transforms. The scheme is implemented in flow_solve, a numerical code designed for process studies of rotating,
Yann Ourmières   +7 more
core   +1 more source

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