Sine-Squared pulse approximation using generalized bessel polynomials

The Generalized Bessel Matrix Polynomials

Abstract.In this paper, the generalized Bessel matrix polynomials are introduced, starting from the hypergeometric matrix function. Integral form, Rodrigues’s formula and generating matrix function are then developed for the generalized Bessel matrix polynomials. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the ...

On Squared Bessel Particle Systems

We study the existence and uniqueness of solutions of SDEs describing squared Bessel particle systems in full generality. We define non-negative and non-colliding squared Bessel particle systems and we study their properties. Particle systems dissatisfying noncolliding and unicity properties are pointed out. The structure of squared Bessel particle systems is described.

Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation

We consider functions f of two real variables, given as trigonometric functions over a finite set F of frequencies. This set is assumed to be closed under rotations in the frequency plane of angle 2kπ M for some integer M . Firstly, we address the problem of evaluating these functions over a similar finite set E in the space plane and, secondly, we address the problems of interpolating or appro...

The Degree of Approximation for Generalized Polynomials

The classical Mu'ntz theorem and the so-called Jackson-Muntz theorems concern uniform approximation on [0,1 ] by polynomials whose exponents are taken from an increasing sequence of positive real numbers A. Under mild restrictions on the exponents, the degree of approximation for A-poly nomials with real coefficients is compared with the corresponding degree of approximation when the coefficien...

Generalized Derivatives and Approximation by Polynomials*