Results 71 to 80 of about 1,282 (191)
A 4D geometric morphometrics workflow to quantify complex biological motion
Methods in Ecology and Evolution, Volume 17, Issue 9, Page 2616-2628, September 2026.Abstract Quantifying biological motion is fundamentally tied to quantifying the biological structures that produce that motion. Yet, this dependence makes it essential to decouple motion from static morphology to enable general, comparable analyses across individuals and conditions. In this work, we present a methodological pipeline to study biological
Marta Gómez‐Recio +8 more
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Journal of Educational Measurement, Volume 63, Issue 3, Fall 2026.Abstract Traditional Item Response Theory (IRT) parameters for item difficulty and discrimination often depend heavily on the specific assumptions and constraints of the chosen model. This study introduces and evaluates population difficulty and population discrimination as complementary metrics that generalize across dichotomous and polytomous item ...
Joakim Wallmark
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
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Advances in Difference Equations, 2019 In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim +3 more
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Theory of generalized hermite polynomials
Computers & Mathematics with Applications, 1994 The paper discusses multivariable forms of Hermite polynomials. The polynomials are introduced by generating functions. Orthogonality, series expansions in terms of the generalized polynomials and partial differential equations are discussed. For the two-dimensional case several graphs are given.
Dattoli, G. +4 more
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Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee +2 more
wiley +1 more source
Likelihood Estimation for Stochastic Differential Equations with Mixed Effects
Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1061-1080, September 2026.ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios +2 more
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Identities associated with Milne–Thomson type polynomials and special numbers
Journal of Inequalities and Applications, 2018 The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
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ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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Multiindex Multivariable Hermite Polynomials [PDF]
Mathematical and Computational Applications, 2002 In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained.
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