Results 101 to 110 of about 18,676 (205)

Approximation and Orthogonality on Fully Symmetric Domains

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
doaj   +1 more source

Non-Linear Observer Design with Laguerre Polynomials. [PDF]

Entropy (Basel), 2022
Trigka M, Dritsas E.
europepmc   +1 more source

Inequalities for orthonormal Laguerre polynomials

Journal of Approximation Theory, 2007
The following inequality is established: \[ 10^{-8}
openaire   +2 more sources

A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials. [PDF]

BMC Med Res Methodol, 2023
Hassani H, Avazzadeh Z, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS, Naraghirad E.   +6 more
europepmc   +1 more source

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

Soft comput, 2023
Avazzadeh Z, Hassani H, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS.   +5 more
europepmc   +1 more source

Hermite and Laguerre 2D polynomials

Journal of Computational and Applied Mathematics, 2001
The Hermite \(2D\) polynomials \(H_{m,n} (U;x,y)\) and Laguerre \(2D\) polynomials \(L_{m,n} (U;z,\overline z)\) are defined as functions of two variables with an arbitrary \(2D\) matrix \(U\) as parameter. Their properties are discussed, explicit representations are given and recursion relations and generating functions for these polynomials are ...
openaire   +1 more source

New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation

AIP Advances
In this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
doaj   +1 more source

A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials

Miskolc Mathematical Notes
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and ...
Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source