arXiv subjects

J. Borrego-Morell

Publications and source records attributed to J. Borrego-Morell.

2 recordsLinked to original sources

arXiv2017

On a class of biorthogonal polynomials on the unit circle

A system of biorthogonal polynomials with respect to a complex valued measure supported on the unit circle is considered and all the terms with bounds are explicitly given for the remainder of an asymptotic formula given by R. Askey for this system. An electrostatic interpretation for the zeros of a class of para-orthogonal polynomials associated with the biorthogonal system is also considered.

math.CA↗

arXiv2015

Differential orthogonality: Laguerre and Hermite cases with applications

Let $μ$ be a finite positive Borel measure supported on R, $\LL[f] =xf''+(α+1-x)f'$ with $α>-1$, or $\LL[f] =\frac{1}{2}f''-xf'$, and $m$ a natural number. We study algebraic, analytic and asymptotic properties of the sequence of monic polynomials $\{Q_n\}_{n>m}$ orthogonal with respect to the operator $\LL$. We also provide a fluid dynamics model for the zeros of these polynomials.

math.CA↗