Results 61 to 70 of about 490,089 (251)

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +1 more source

PERICLES: A Set of Empirical Rotational Isochrones Modeled on Cool Dwarfs in Open Clusters and Wide Binaries

Astronomische Nachrichten, EarlyView.
ABSTRACT Isochrones, equal‐age curves, are widely used in astrophysics to estimate stellar ages. Classical stellar parameters are, however, very limited in their usability for main sequence stars because of their weak age‐dependence. Here, rotation period measurements provide complementary information.
David Gruner, Sydney A. Barnes
wiley   +1 more source

Recurrence Relations for Wronskian Hermite Polynomials [PDF]

, 2018
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Niels Bonneux, Marco Stevens
semanticscholar   +1 more source

Polynomially oscillatory multipliers on Gelfand–Shilov spaces

Mathematische Nachrichten, EarlyView.
Abstract We study continuity of the multiplier operator eiq$\text{e}^{\text{i} q}$ acting on Gelfand–Shilov spaces, where q$q$ is a polynomial on Rd$\mathbf {R}^{d}$ of degree at least two with real coefficients. In the parameter quadrant for the spaces, we identify a wedge that depends on the polynomial degree for which the operator is continuous.
Alexandre Arias Junior, Patrik Wahlberg
wiley   +1 more source

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

Mehler's formulas for the univariate complex Hermite polynomials and applications [PDF]

, 2017
We give 2 widest Mehler's formulas for the univariate complex Hermite polynomials Hm,nν , by performing double summations involving the products umHm,nν(z,z‾)Hm,nν(w,w‾)‾ and umvnHm,nν(z,z‾)Hm,nν′(w,w‾)‾ . They can be seen as the complex analogues of the
A. Ghanmi
semanticscholar   +1 more source

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source

Dynamic Behavior of a Two‐Degree‐of‐Freedom System With Electromagnetic Interaction via a Skew‐Symmetric Matrix

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper analyzes the dynamic behavior of a two‐degree‐of‐freedom system subjected to electromagnetic interaction modelled through a skew‐symmetric coupling matrix. The system comprises two mechanically independent oscillators coupled by velocity‐dependent electromagnetic forces.
Fernando Cortés, Ondiz Zarraga, Julen Cortazar‐Noguerol, Imanol Sarría, María Jesús Elejabarrieta   +4 more
wiley   +1 more source

More on the q-oscillator algebra and q-orthogonal polynomials

, 1995
Properties of certain $q$-orthogonal polynomials are connected to the $q$-oscillator algebra. The Wall and $q$-Laguerre polynomials are shown to arise as matrix elements of $q$-exponentials of the generators in a representation of this algebra.
Atakishiyev N, Atakishiyev N M, Atakishiyev N M, Biedenharn L C, Floreanini R, Floreanini R, Floreanini R, Floreanini R, Gasper G, J LeTourneux, Kalnins E G, Koekoek R, L Vinet, MacFarlane A J, R Floreanini, Zhedanov A S, Zhedanov A S   +16 more
core   +2 more sources

Uncertainty Quantification in Planning Aircraft Ground Movement Operations With Towbarless Robotic Tractors

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta, Alberto Olivares, Ernesto Staffetti   +2 more
wiley   +1 more source