Results 81 to 90 of about 33,621 (261)
Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
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An extension of Hermite polynomials [PDF]
International Journal of Contemporary Mathematical Sciences, 2014 In this paper, we introduce an extended Hermite polynomial ( , ) ( ) a b n H x , we establish its different forms, generating functions, basic recurrence relations, the pure recurrence relation, the second order differential equation, Rodrigues formula and orthogonality of the extended polynomial.
Ghulam Farid, G. M. Habibullah
openaire +1 more source
Automated Residual Plot Assessment With the R Package autovi and the Shiny Application autovi.web
Australian &New Zealand Journal of Statistics, EarlyView.ABSTRACT Visual assessment of residual plots is a common approach for diagnosing linear models, but it relies on manual evaluation, which does not scale well and can lead to inconsistent decisions across analysts. The lineup protocol, which embeds the observed plot among null plots, can reduce subjectivity but requires even more human effort.
Weihao Li +4 more
wiley +1 more source
A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler +5 more
wiley +1 more source
Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
Journal of Applied Mathematics, 2013 Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
doaj +1 more source
Journal of Time Series Analysis, EarlyView.This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley +1 more source
DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
doaj +1 more source
A quantum exactly solvable non-linear oscillator related with the isotonic oscillator
, 2007 A nonpolynomial one-dimensional quantum potential representing an oscillator, that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator (harmonic oscillator with a centripetal barrier), is studied.
A M Perelomov +12 more
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Multiple Changepoint Detection for Non‐Gaussian Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT This article combines methods from existing techniques to identify multiple changepoints in non‐Gaussian autocorrelated time series. A transformation is used to convert a Gaussian series into a non‐Gaussian series, enabling penalized likelihood methods to handle non‐Gaussian scenarios.
Robert Lund +3 more
wiley +1 more source