Results 11 to 20 of about 174,275 (197)
Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
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
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Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]
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
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Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli
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
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q-Bernoulli numbers and q-Bernoulli polynomials revisited [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Optimal stopping times for estimating Bernoulli parameters with applications to active imaging [PDF]
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
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Fast Calculation of Bernoulli Numbers
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
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Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials
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
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Probabilistic sampling of finite renewal processes [PDF]
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
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Some identities of Lah–Bell polynomials
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
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Bernoulli track‐before‐detect smoothing for maritime radar
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
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