Results 41 to 50 of about 1,199 (184)

DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS

open access: yesPesquimat, 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

Reintroduction of an Endangered Butterfly, the Mottled Duskywing (Erynnis martialis)

open access: yesAnimal Conservation, EarlyView.
We reintroduced Mottled Duskywing (Erynnis martialis), an endangered skipper butterfly, at different life‐stages to restored oak savanna habitat in Ontario, Canada and then performed intensive post‐release monitoring. Our results show that, at one of three sites, a population was established within two years of initiating releases and that pupae and ...
Michelle Polley   +7 more
wiley   +1 more source

Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials

open access: yesJournal 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

From tetrachoric to kappa: How to assess reliability on binary scales

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function

open access: yesInternational Statistical Review, EarlyView.
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler   +3 more
wiley   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

open access: yesMathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Sleep and cardiac autonomic modulation in older adults: Insights from an at‐home study with auditory deep sleep stimulation

open access: yesJournal 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

Multiple Changepoint Detection for Non‐Gaussian Time Series

open access: yesJournal 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

A New Generating Function for Hermite Polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences
This paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
doaj   +1 more source

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