Results 111 to 120 of about 47,072 (207)
Determinants with Bernoulli polynomials and the restricted partition function
, 2019 Let $r\geq 1$ be an integer, $\mathbf a=(a_1,\ldots,a_r)$ a vector of positive integers and let $D\geq 1$ be a common multiple of $a_1,\ldots,a_r$. We study two natural determinants of order $rD$ with Bernoulli polynomials and we present connections with
Cimpoeas, Mircea
core
Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function
, 2006 Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core
Annales Mathematicae SilesianaeWe develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
doaj +1 more source
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
Congruences involving Bernoulli polynomials
Discrete Mathematics, 2008 The author proves congruences modulo \(p\), an odd prime, between values of Bernoulli polynomials \(B_n(x)\) and certain sums of Kronecker symbols \(({k\over p})\) or, alternatively, sums of binomial coefficients \(p\choose k\). He also proves similar congruences for Euler polynomials \(E_n(x)\).
openaire +2 more sources
Advanced ScienceThe incorporation of randomness into stochastic computing can provide ample opportunities for applications such as simulated annealing, non‐polynomial hard problem solving, and Bayesian neuron networks.
Ran Zhang +9 more
doaj +1 more source
Some Novel Formulas of the Telephone Polynomials Including New Definite and Indefinite Integrals
MathematicsIn this article, we present new theoretical findings on specific polynomials that generalize the concept of telephone numbers, namely, Telephone polynomials (TelPs).
Omar Mazen Alqubori +1 more
doaj +1 more source
On p-Bernoulli numbers and polynomials
Journal of Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Iterated Residues and Multiple Bernoulli Polynomials
, 1997 We describe an effective method for calculating certain infinite sums, generalizations of the classical Bernoulli polynomials. As shown by Edward Witten in his papers on two-dimensional gauge theories, the correlation functions of two-dimensional topological Yang-Mills theory (or intersection numbers on moduli spaces of flat connections) can be given ...
openaire +3 more sources
Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Sci RepIqbal N +5 more
europepmc +1 more source