Results 71 to 80 of about 1,233 (186)

Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials

open access: yesMathematics, 2019
In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim   +3 more
doaj   +1 more source

Fractional Supersymmetric Hermite Polynomials

open access: yesMathematics, 2020
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
doaj   +1 more source

Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review

open access: yesAdvanced Photonics Research, Volume 7, Issue 6, June 2026.
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley   +1 more source

On the degree of approximation of the Hermite and Hermite-Fejer interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
doaj   +1 more source

Evaluation of Modeling Assumptions for Predicting Structural Damage and Train Derailment Under Earthquake Loading

open access: yesEarthquake Engineering &Structural Dynamics, Volume 55, Issue 7, Page 1514-1532, June 2026.
ABSTRACT The rapid development of new railway networks and the aging of existing infrastructure in seismic‐prone regions continue to motivate the need for efficient methods to simulate the dynamic behavior of coupled train track structure systems. While detailed train–structure interaction (TSI) models can capture complex mechanisms, they are often too
Miguel A. Gomez, Matthew J. DeJong
wiley   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3546-3557, 10 June 2026.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas   +1 more
wiley   +1 more source

Primitivity testing in free group algebras via duality

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel   +2 more
wiley   +1 more source

Identities associated with Milne–Thomson type polynomials and special numbers

open access: yesJournal 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
doaj   +1 more source

On a class of Humbert-Hermite polynomials

open access: yesNovi Sad Journal of Mathematics, 2019
A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević , Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called ’named’ polynomials ...
M. A Pathan, Waseem Khan
openaire   +3 more sources

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