We establish various properties for the zero sets of three families of bivariate Hermite polynomials. Special emphasis is given to those bivariate orthogonal polynomials introduced by Hermite by means of a Rodrigues type ...

In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...

In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds ...

An algorithmic approach for generating generalised Zernike polynomials by differential operators and connection matrices is proposed. This is done by introducing a new order of generalised Zernike polynomials such that it ...

O objetivo principal desta dissertação é estudar a existência dos Polinômios Multiortogonais do Tipo II e também a equivalência das relações de ortogonalidade dos Polinômios Multiortogonais do Tipo II com as Aproximações ...

Sharp bounds for the zeros of symmetric Kravchuk polynomials K (n) (x;M) are obtained. The results provide a precise quantitative meaning of the fact that Kravchuk polynomials converge uniformly to Hermite polynomials, as ...

We study the weak and strong type boundedness of maximal heat?diffusion operators associated with the system of generalized Hermite polynomials and with two different systems of generalized Hermite functions. We also give ...