Results 71 to 80 of about 1,233 (186)
Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
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
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
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
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
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
On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
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
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
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
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

