Results 171 to 180 of about 47,314 (210)

Maximizing Nanosatellite Throughput via Dynamic Scheduling and Distributed Ground Stations. [PDF]

Sensors (Basel)
Ronen R, Ben-Moshe B.
europepmc   +1 more source

Irrationality and transcendence questions in the 'poor man's adèle ring'. [PDF]

Ramanujan J
Luca F, Zudilin W.
europepmc   +1 more source

Optical closed form soliton structures for the Kuralay-II equation in nonlinear optical complex media. [PDF]

Sci Rep
Arshad A, Yasin MW, Saeed I, Ahmed N, Bittaye E, Baber MZ.   +5 more
europepmc   +1 more source

Soliton dynamics of the fourth-order nonlinear Boussinesq equation arising in shallow-water via advanced analytical techniques. [PDF]

Sci Rep
Malik S, Boulaaras SM, Talafha AM, Sağlam FNK.   +3 more
europepmc   +1 more source

A discrete model for analyzing the free vibrations of a non-uniform 2D-FGM beam under elastic foundations and different support conditions. [PDF]

Sci Rep
Moukhliss A, Rahmouni A, Benamar R.
europepmc   +1 more source

An identity of symmetry for the Bernoulli polynomials

Discrete Mathematics, 2008
The author proves an identity of symmetry for the higher Bernoulli polynomials. It turns out implies that the recurrence relation and multiplication theorem for the Bernoulli polynomials discussed by \textit{F. T. Howard} [J. Number Theory 52, No. 1, 157--172 (1995; Zbl 0844.11019)], as well as a relation of symmetry between the power sum polynomials ...
Sheng-Liang Yang
exaly   +2 more sources

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Bernoulli Polynomials and Bernoulli Numbers

2002
In this chapter, we introduce a sequence of polynomials that is closely related to the h-antiderivative of polynomials and has many important applications.
Victor Kac, Pokman Cheung
openaire   +1 more source

Identities for Bernoulli polynomials and Bernoulli numbers

Archiv der Mathematik, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
openaire   +1 more source

On the zeros of shifted Bernoulli polynomials

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ákos Pintér, Csaba Rakaczki
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Bernoulli Polynomials and Bernoulli Numbers

1973
The summing of the first n natural numbers, or Squares, or cubes, is a rather elementary problem in number theory and leads to the well known formulae $$\eqalign{ & \sum\limits_{n = 1}^N n \, = \,{{N(N + 1)} \over 2}, \cr & \sum\limits_{n = 1}^N {{n^2}} \, = \,{{N(N + 1)(2N + 1)} \over 6}, \cr & \sum\limits_{n = 1}^N {{n^3}} \, = \,{{{N^2}{{(N + 1)}
openaire   +1 more source