Results 11 to 20 of about 140,035 (276)

Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]

, 2013
Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion.
Odake, Satoru
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Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations [PDF]

, 2016
The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere.
Martínez, Clotilde, Piñar, Miguel A.
core   +3 more sources

Krylov complexity and orthogonal polynomials

Nuclear Physics B, 2022
Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
doaj   +1 more source

Some Orthogonal Polynomials Arising from Coherent States [PDF]

, 2011
We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature.
Akhiezer N I, Andrews G E, Askey R, Chihara T S, Dickinson D J, Erdélyi A, Feller W, Goldberg J, Ismail M E H, Ismail M E H, Klauder J R, Koekoek R Swarttouw R, Mourad E H Ismail, Nevai P, Odzijewicz A, Rainville E D, S Twareque Ali, Sivakumar S, Szegő G, Widder D V   +19 more
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Constrained orthogonal polynomials [PDF]

Journal of Physics A: Mathematical and General, 2005
11 pages, 10 ...
openaire   +3 more sources

Planar orthogonal polynomials as Type II multiple orthogonal polynomials [PDF]

Journal of Physics A: Mathematical and Theoretical, 2019
We show that the planar orthogonal polynomials with $l$ logarithmic singularities in the potential are the multiple orthogonal polynomials (Hermite-Pad polynomials) of Type II with $l$ measures. We also find the ratio between the determinant of the moment matrix corresponding to the multiple orthogonal polynomials and the determinant of the moment ...
Seung-Yeop Lee, Meng Yang
openaire   +3 more sources

Integral of Legendre polynomials and its properties [PDF]

Mathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
doaj   +1 more source

Orthogonal Polynomials On Ellipses And Their Recurrence Relations

Demonstratio Mathematica, 2014
In this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ...
Lauric Vasile
doaj   +1 more source

GENERATING FUNCTIONS OF THE PRODUCT OF 2-ORTHOGONAL CHEBYSHEV POLYNOMIALS WITH SOME NUMBERS AND THE OTHER CHEBYSHEV POLYNOMIALS

Проблемы анализа, 2020
In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj   +1 more source

Multivariate Orthogonal Polynomials and Modified Moment Functionals [PDF]

, 2016
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients.
Delgado, Antonia M., Fernández, Lidia, Piñar, Miguel A., Pérez, Teresa E.   +3 more
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