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Recent advancements in integer-valued autoregressive models for count data time series: A comprehensive review. [PDF]
MethodsXSerrao V, Poojari S, Kamath A.
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Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks. [PDF]
Sensors (Basel)Song I, Kang S, Ros S, Kim S.
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Estimating HIV incidence in Türkiye: results from two mathematical models. [PDF]
BMC Infect DisYaylali E, Erdogan ZM.
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On misconceptions about the Brier score in binary prediction models. [PDF]
Glob EpidemiolHoessly L.
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Bernoulli Polynomials and Bernoulli Numbers
2002In this chapter, we introduce a sequence of polynomials that is closely related to the h-antiderivative of polynomials and has many important applications.
Victor Kac, Pokman Cheung
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The Fibonacci Quarterly, 1968
This paper is of an expository nature and is concerned mainly with the arithmetic properties of the Bernoulli numbers. Following an introductory section which reviews the basic formulas for the Bernoulli and Euler numbers and polynomials, the following topics are discussed: the Staudt-Clausen theorem, Kummer's congruences and some related properties ...
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This paper is of an expository nature and is concerned mainly with the arithmetic properties of the Bernoulli numbers. Following an introductory section which reviews the basic formulas for the Bernoulli and Euler numbers and polynomials, the following topics are discussed: the Staudt-Clausen theorem, Kummer's congruences and some related properties ...
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Identities for Bernoulli polynomials and Bernoulli numbers
Archiv der Mathematik, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
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Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1999
The authors continue the investigations of the second author [J. Théor. Nombres Bordx. 9, 221-228 (1997; Zbl 0887.11011)]. For each integer \(k\) the poly-Bernoulli numbers \(B_n^{(k)}\), \(n=0,1,2\ldots\) are defined by the generating series \[ \frac{\text{ Li}_k(1-e^{-x})}{1-e^{-x}}=\sum_{n=0}^{\infty}B_n^{(k)} \frac{x^n}{n!}, \] where \(\text{ Li}_k(
Tsuneo, Arakawa, Masanobu, Kaneko
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The authors continue the investigations of the second author [J. Théor. Nombres Bordx. 9, 221-228 (1997; Zbl 0887.11011)]. For each integer \(k\) the poly-Bernoulli numbers \(B_n^{(k)}\), \(n=0,1,2\ldots\) are defined by the generating series \[ \frac{\text{ Li}_k(1-e^{-x})}{1-e^{-x}}=\sum_{n=0}^{\infty}B_n^{(k)} \frac{x^n}{n!}, \] where \(\text{ Li}_k(
Tsuneo, Arakawa, Masanobu, Kaneko
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