Results 71 to 80 of about 1,776 (233)
Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
doaj +1 more source
q-Bernoulli numbers and polynomials
Duke Mathematical Journal, 1948 Verf. definiert die \(q\)-Bernoullischen Zahlen \(\beta_m\) durch \(\beta_0=1\), \(\beta_1=-1/(q+1)\) und die symboli\-sche Rekursionsformel \(q(q\beta+1)^m=0\) \((m>1)\), wobei \(\beta^i\) nach Entwicklung durch \(\beta_i\) zu ersetzen ist. Die Zahlen \(\beta_m\) stimmen für \(q=1\) mit den gewöhnlichen Bernoullischen Zahlen überein.
openaire +3 more sources
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
wiley +1 more source
Arithmetical properties of double Möbius-Bernoulli numbers
Open Mathematics, 2019 Given positive integers n, n′ and k, we investigate the Möbius-Bernoulli numbers Mk(n), double Möbius-Bernoulli numbers Mk(n,n′), and Möbius-Bernoulli polynomials Mk(n)(x).
Bayad Abdelmejid, Kim Daeyeoul, Li Yan
doaj +1 more source
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
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time‐varying Q matrices, latent attributes, item parameters, attribute class proportions and transition ...
Chen‐Wei Liu
wiley +1 more source
POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied
Hamahata, Yoshinori +3 more
core +1 more source
Special type of bernoulli polynomials and hyperbolic fibonacci functions
, 2023 Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they are widely used in mathematics, engineering and other disciplines.
Yazlık, Yasin, Köme, Sure
core
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