Results 21 to 30 of about 1,874,872 (323)
Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures [PDF]
Opuscula Mathematica, 2016 The paper focuses on matrix-valued polynomials satisfying a three-term recurrence relation with constant matrix coefficients. It is shown that they form an orthogonal system with respect to a matrix of measures, not necessarily symmetric. Moreover, it is
Marcin J. Zygmunt
doaj +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source
Matrix biorthogonal polynomials on the real line: Geronimus transformations [PDF]
Bulletin of Mathematical Sciences, 2019 In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegenerate continuous sesquilinear form, which in turn is determined ...
Gerardo Ariznabarreta +3 more
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
The Matrix Ansatz, orthogonal polynomials, and permutations
Advances in Applied Mathematics, 2011 In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products of matrices, where the matrices obey certain relations. We illustrate this approach with applications to moments of orthogonal polynomials, permutations, signed permutations,
Corteel, Sylvie +2 more
openaire +5 more sources
Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
core +1 more source
Fractional Pantograph Delay Equations Solving by the Meshless Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
doaj +1 more source
Riesz's Theorem for Orthogonal Matrix Polynomials [PDF]
Constructive Approximation, 1999 We describe the image through the Stieltjes transform of the set of solutions V of a matrix moment problem. We extend Riesz's theorem to the matrix setting, proving that those matrices of measures of V for which the matrix polynomials are dense in the corresponding L2 space are precisely those whose Stieltjes transform is an extremal point (in the ...
openaire +3 more sources
Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core +1 more source
2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We present a numerical method for solving linear and nonlinear fractional partial differential equations (FPDEs) with variable coefficients. The main aim of the proposed method is to introduce an orthogonal basis of twodimensional fractional Muntz ...
E. Hengamian Asl +2 more
doaj +1 more source