Results 61 to 70 of about 2,081 (228)
Bernoulli Numbers and Polynomials via Residues
Journal of Number Theory, 1999 In the ring \({\mathbb Q}[[T]]\) of formal power series the authors study the subring generated by \({\mathbb Q}, T\) and \(T/(e^T-1)\) together with the differential operator \(T(d/dT)\). Using their calculus of generalized fractions and residues they show that the Bernoulli numbers \(B^{(n)}_i\) of order \(n\) and Bernoulli polynomials \(B^{(n)}_i(X)\
Huang, I-Chiau, Huang, Su-Yun
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New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials [PDF]
, 2014 In this paper, we derive new matrix representation for Daehee numbers and polynomials, the lambda-Daehee numbers and polynomials and the twisted Daehee numbers and polynomials.
B. El-Desouky, A. Mustafa
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A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Residual diagnostics for assessing closed population capture–recapture models
Methods in Ecology and Evolution, EarlyView.Abstract Capture–recapture models provide a statistical framework for estimating demographic parameters from incomplete observation data, where not all individuals in a population are detected during sampling. Assessing the fit of such models is crucial for reliable inference.
Jakub Stoklosa +2 more
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New families of special numbers and polynomials arising from applications of p-adic q-integrals
Advances in Difference Equations, 2017 In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim +3 more
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Addiction, Volume 120, Issue 4, Page 745-755, April 2025.Abstract Aims The aim of this study was to identify longitudinal trajectories of medication for opioid use disorder (MOUD) use throughout 1 year following MOUD initiation and to examine the association of trajectory membership with HIV testing among people who inject drugs in India.
Allison M. McFall +8 more
wiley +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2016 The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
Advances in Difference Equations, 2020 Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim +4 more
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Ramanujan–Bernoulli numbers as moments of Racah polynomials [PDF]
Journal de théorie des nombres de Bordeaux, 2020 The classical sequence of Bernoulli numbers is known to be the sequence of moments of a family of orthogonal polynomials. The same statement is obtained for another sequence of rational numbers, which is similar in many ways to the Bernoulli numbers.
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Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters [PDF]
, 2011 In this paper we investigate special generalized Bernoulli polynomials with a,b,c parameters that generalize classical Bernoulli numbers and polynomials.
H. Jolany, R. Corcino
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