Results 11 to 20 of about 174,275 (197)

Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

open access: yesMathematics, 2016
In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli ...
Feng Qi, Bai-Ni Guo
doaj   +3 more sources

Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]

open access: yes, 2013
In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers ...
Can, Mümün, Dağlı, M. Cihat
core   +1 more source

Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli

open access: yesDesimal, 2019
In this article, we study about the value of Riemann Zeta Function for even numbers using Bernoulli number. First, we give some basic theory about Bernoulli number and Riemann Zeta function.
Ikhsan Maulidi   +2 more
doaj   +1 more source

q-Bernoulli numbers and q-Bernoulli polynomials revisited [PDF]

open access: yesAdvances in Difference Equations, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim Taekyun, Lee Byungje, Ryoo Cheon
openaire   +2 more sources

Optimal stopping times for estimating Bernoulli parameters with applications to active imaging [PDF]

open access: yes, 2018
We address the problem of estimating the parameter of a Bernoulli process. This arises in many applications, including photon-efficient active imaging where each illumination period is regarded as a single Bernoulli trial. We introduce a framework within
Goyal, Vivek K.   +2 more
core   +1 more source

Fast Calculation of Bernoulli Numbers

open access: yesСовременные информационные технологии и IT-образование, 2019
Bernoulli numbers are often found in mathematical analysis, number theory, combinatorics, and other areas of mathematics. In some monographs on number theory there are separate chapters devoted only to Bernoulli numbers and their properties.
Rustem R. Aidagulov, Sergei T. Glavatsky
doaj   +1 more source

Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

open access: yesFractal and Fractional, 2021
We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivative was considered in the Caputo sense, while the Riemann–Liouville integral
Somayeh Nemati   +2 more
doaj   +1 more source

Probabilistic sampling of finite renewal processes [PDF]

open access: yes, 2011
Consider a finite renewal process in the sense that interrenewal times are positive i.i.d. variables and the total number of renewals is a random variable, independent of interrenewal times.
Antunes, Nelson, Pipiras, Vladas
core   +3 more sources

Some identities of Lah–Bell polynomials

open access: yesAdvances in Difference Equations, 2020
Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma   +4 more
doaj   +1 more source

Bernoulli track‐before‐detect smoothing for maritime radar

open access: yesIET Radar, Sonar & Navigation, 2022
Detection and tracking of small targets in sea clutter using a high‐resolution radar is a challenging problem as the sea surface constantly moves in a complex manner, with rough seas creating strong target‐like returns. Recently, a Bernoulli track‐before‐
Branko Ristic   +3 more
doaj   +1 more source

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