Results 31 to 40 of about 47,072 (207)
Bernoulli polynomial based wavelets method for solving chaotic behaviour of financial model
This paper presents an algorithm for solving systems of non integer financial chaotic model. The Bernoulli wavelets function approximation applies to fractional order financial systems for the first time.
Badr Saad T. Alkahtani +3 more
doaj +1 more source
Bernoulli Related Polynomials and Numbers [PDF]
The polynomials φ n ( x ; a , b ) {\varphi _n}(x;a,b) of degree n defined by the equations \[ Δ a φ n ( x
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Derivation of Identities Involving Bernoulli and Euler Numbers
We derive some new and interesting identities involving Bernoulli and Euler numbers by using some polynomial identities and p-adic integrals on ℤ𝑝.
Imju Lee, Dae San Kim
doaj +1 more source
Sums of finite products of Genocchi functions
In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim +3 more
doaj +1 more source
Quantum-secure message authentication via blind-unforgeability [PDF]
Formulating and designing unforgeable authentication of classical messages in the presence of quantum adversaries has been a challenge, as the familiar classical notions of unforgeability do not directly translate into meaningful notions in the quantum ...
CH Bennett +17 more
core +3 more sources
Generalised Bernoulli polynomials and series [PDF]
We present several results related to the recently introduced generalised Bernoulli polynomials. Some recurrence relations are given, which permit us to compute efficiently the polynomials in question. The sums , where jk = jk (α) are the zeros of the Bessel function of the first kind of order α, are evaluated in terms of these polynomials.
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New results on the q-generalized Bernoulli polynomials of level m
This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of
Urieles Alejandro +3 more
doaj +1 more source
Moment bounds for the corrector in stochastic homogenization of a percolation model [PDF]
We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on $\mathbb{Z}^d$, $d>2$. The model is obtained from the classical $\{0,1\}$-Bernoulli bond percolation by conditioning all bonds parallel to the ...
Lamacz, Agnes +2 more
core +5 more sources
Bernoulli-Fibonacci Polynomials
By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts.
Pashaev, Oktay K., Ozvatan, Merve
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Bernoulli Basis and the Product of Several Bernoulli Polynomials [PDF]
We develop methods for computing the product of several Bernoulli and Euler polynomials by using Bernoulli basis for the vector space of polynomials of degree less than or equal ton.
Dae San Kim, Taekyun Kim
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