Results 131 to 140 of about 2,081 (228)

Velocity field and cavity dynamics in drop impact experiments. [PDF]

J Fluid Mech, 2023
Lherm V, Deguen R.
europepmc   +1 more source

A Note on Symmetric Properties of the Twisted -Bernoulli Polynomials and the Twisted Generalized -Bernoulli Polynomials

Advances in Difference Equations, 2010
We define the twisted -Bernoulli polynomials and the twisted generalized -Bernoulli polynomials attached to of higher order and investigate some symmetric properties of them.
Lee B, Yi H, Kim T, Kim YH, Shivashankara K, Jang L-C   +5 more
doaj  

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

Axioms
In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj   +1 more source

Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]

Entropy (Basel), 2022
Vitanov NK.
europepmc   +1 more source

Explicit values of Bernoulli polynomials at rational numbers

Journal of Mathematical Analysis and Applications
The content of the paper covers the following topics the Bernoulli polynomials and numbers, the Riemann zeta and the Hurwitz zeta functions, and Lehmer's question. The authors give many relations and formulas in order to evaluate values of the Bernoulli polynomials at rational numbers.
Florian Münkel, Lerna Pehlivan, Kenneth S. Williams   +2 more
openaire   +2 more sources

A note on Bernoulli numbers and polynomials

, 1974
Put \(S_k =S_k(n) = \sum_{n=0}^{n-1} a^k\). It is well known that \(S_1^2 = S_3\), \(2S_1^4 = S_5 + S_7\). Stern showed that [\textit{P. Bachmann}, Niedere Zahlentheorie. Tell II (Teubner, Leipzig, 1910, p. 20) (reprint Chelsea, Bronx, 1968; Zbl. 253.10001)) \[ 2^{m-1} S_1^m = \sum_{2j < m} \binom{m}{2j+1} S_{2m-2j-1}.
openaire   +2 more sources

Multi-poly-Bernoulli numbers and polynomials with a q parameter

Lithuanian Mathematical Journal, 2015
T. Komatsu, J. L. Ramírez, V. Sirvent
semanticscholar   +2 more sources

Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]

Int J Appl Comput Math, 2022
Panchore V.
europepmc   +1 more source

COVID-19 pandemic and chaos theory. [PDF]

Math Comput Simul, 2021
Postavaru O, Anton SR, Toma A.
europepmc   +1 more source

Asymptotics of Symmetric Polynomials: A Dynamical Point of View. [PDF]

Commun Math Phys
Guionnet A, Huang J.
europepmc   +1 more source