Joint analysis of longitudinal and recurrent event data: A functional regression approach with autoregressive frailty. [PDF]
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Semiparametric mixture regression for asynchronous longitudinal data using multivariate functional principal component analysis. [PDF]
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Common to rare transfer learning (CORAL) enables inference and prediction for a quarter million rare Malagasy arthropods. [PDF]
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Generalized Bernoulli Polynomials and Numbers, Revisited
Mediterranean Journal of Mathematics, 2014We describe with some new details the connection between generalized Bernoulli polynomials, Bernoulli polynomials and generalized Bernoulli numbers (Norlund polynomials). A new recursive and explicit formulae for these polynomials are derived.
Neven Elezović
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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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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 Integrality of the Values of Bernoulli Polynomials and of Generalised Bernoulli Numbers
Bulletin of the London Mathematical Society, 1997\textit{G. Almkvist} and \textit{A. Meurman} [C. R. Math. Acad. Sci., Soc. R. Can. 13, 104-108 (1991; Zbl 0731.11014)] proved a result on the values of the Bernoulli polynomials at rational values of the argument. Subsequently \textit{B. Sury} [Bull. Lond. Math. Soc. 25, 327-329 (1993; Zbl 0807.11014)] and \textit{K. Bartz} and \textit{J. Rutkowski} [C.
Clarke, Francis, Slavutskii, I. Sh.
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Formulas for Bernoulli Numbers and Polynomials
Results in MathematicsSpecial polynomials and numbers possess much importance in multifarious areas of sciences such as physics, mathematics, applied sciences, engineering, and other related research fields covering differential equations, number theory, functional analysis, quantum mechanics, mathematical analysis, mathematical physics, and so on.
Ulrich Abel, Horst Alzer
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Bernoulli Polynomials and Bernoulli Numbers
1973The summing of the first n natural numbers, or Squares, or cubes, is a rather elementary problem in number theory and leads to the well known formulae $$\eqalign{ & \sum\limits_{n = 1}^N n \, = \,{{N(N + 1)} \over 2}, \cr & \sum\limits_{n = 1}^N {{n^2}} \, = \,{{N(N + 1)(2N + 1)} \over 6}, \cr & \sum\limits_{n = 1}^N {{n^3}} \, = \,{{{N^2}{{(N + 1)}
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A class of polynomials and connections with Bernoulli’s numbers
The Journal of Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gradimir V. Milovanović +2 more
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