Results 31 to 40 of about 1,059,315 (385)
Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy [PDF]
, 2015 Given a matrix polynomial $W(x)$, matrix bi-orthogonal polynomials with respect to the sesquilinear form $\langle P(x),Q(x)\rangle_W=\int P(x) W(x)\operatorname{d}\mu(x)(Q(x))^{\top}$, $P(x),Q(x)\in\mathbb R^{p\times p}[x]$, where $\mu(x)$ is a matrix of
Carlos 'Alvarez-Fern'andez +4 more
semanticscholar +1 more source
Quantum Optics Parity Effect on Generalized NOON States and Its Implications for Quantum Metrology
Annalen der Physik, Volume 534, Issue 12, December 2022., 2022 A quantum optical‐parity effect is found to emerge in the evolution from generalized NOON states of a two‐level atom or molecule coupled to a cavity field. The parity of the photon number influences the quantum entanglement properties of the system, resulting in a parity‐dependent ability to extract states of the evolving system for precise phase ...
Agostino Migliore, Antonino Messina
wiley +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
Symmetric orthogonal polynomials and the associated orthogonal 𝐿-polynomials [PDF]
Proceedings of the American Mathematical Society, 1995 We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function ( 1 + k
openaire +5 more sources
Some classical multiple orthogonal polynomials [PDF]
, 2001 Recently there has been a renewed interest in an extension of the notion of orthogonal polynomials known as multiple orthogonal polynomials. This notion comes from simultaneous rational approximation (Hermite-Pade approximation) of a system of several ...
Al-Salam +23 more
core +4 more sources
Constrained orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and General, 2005 11 pages, 10 ...
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Goodness‐of‐fit tests in proportional hazards models with random effects
Biometrical Journal, Volume 65, Issue 1, January 2023., 2023 Abstract This paper deals with testing the functional form of the covariate effects in a Cox proportional hazards model with random effects. We assume that the responses are clustered and incomplete due to right censoring. The estimation of the model under the null (parametric covariate effect) and the alternative (nonparametric effect) is performed ...
Wenceslao González‐Manteiga +2 more
wiley +1 more source
Expected number of real zeros for random linear combinations of orthogonal polynomials [PDF]
, 2015 We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d.
D. Lubinsky, I. Pritsker, Xiaoju Xie
semanticscholar +1 more source
Orthogonality of quasi-orthogonal polynomials
Filomat, 2018 A result of P?lya states that every sequence of quadrature formulas Qn(f) with n nodes and positive Cotes numbers converges to the integral I(f) of a continuous function f provided Qn(f) = I(f) for a space of algebraic polynomials of certain degree that depends on n.
Bracciali, Cleonice F. +2 more
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
doaj +1 more source