Results 51 to 60 of about 18,359 (203)
D-log and formal flow for analytic isomorphisms of n-space [PDF]
, 2002 Given a formal map $F=(F_1...,F_n)$ of the form $z+\text{higher}$ order terms, we give tree expansion formulas and associated algorithms for the D-Log of F and the formal flow F_t.
Wright, David, Zhao, Wenhua
core +2 more sources
Hypergeometric degenerate Bernoulli polynomials and numbers
Ars Mathematica Contemporanea, 2020 Summary: Carlitz defined the degenerate Bernoulli polynomials \(\beta_n(\lambda,x)\) by means of the generating function \(t\left((1+\lambda t)^{1\lambda} -1\right)^{-1}(1+\lambda t)^{x/\lambda}\). In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers.
openaire +3 more sources
On The Properties Of $q$-Bernstein-Type Polynomials
, 2014 The aim of this paper is to give a new approach to modified $q$-Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and ...
Acikgoz, Mehmet +3 more
core +1 more source
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
openaire +2 more sources
Shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, EarlyView.For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg +2 more
wiley +1 more source
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
doaj +1 more source
Construction a new generating function of Bernstein type polynomials
, 2010 Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given.
Simsek, Yilmaz
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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
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
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