17 citations · 43 across the 12 of their papers we have counts for
12 papers
Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials
Ana Loureiro, Walter Van Assche
We investigate the ratio asymptotics and the asymptotic zero distribution of a sequence of polynomials that satisfy a recurrence relation of order with all recurrence coeffic…
Generalised higher-order Freud weights
Peter A. Clarkson, Kerstin Jordaan, Ana Loureiro
We discuss polynomials orthogonal with respect to a semi-classical generalised higher order Freud weight \[ω(x;t,λ)=|x|^{2λ+1}\exp\left(tx^2-x^{2m}\right),\qquad x\in\mathbb{R},\]…
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function
Helder Lima, Ana Loureiro
A new set of multiple orthogonal polynomials of both type I and type II with respect to two weight functions involving Gauss' hypergeometric function on the interval is stu…
Leveraging the Self-Transition Probability of Ordinal Pattern Transition Graph for Transportation Mode Classification
I. Cardoso-Pereira, J. B. Borges, P. H. Barros +3
The analysis of GPS trajectories is a well-studied problem in Urban Computing and has been used to track people. Analyzing people mobility and identifying the transportation mode u…
Threefold symmetric Hahn-classical multiple orthogonal polynomials
Ana F. Loureiro, Walter Van Assche
We characterize all the multiple orthogonal threefold symmetric polynomial sequences whose sequence of derivatives is also multiple orthogonal. Such a property is commonly called t…
Volterra-type convolution of classical polynomials
Ana F. Loureiro, Kuan Xu
We present a general framework for calculating the Volterra-type convolution of polynomials from an arbitrary polynomial sequence with . B…
Spectral approximation of convolution operator
Kuan Xu, Ana Loureiro
We develop a unified framework for constructing matrix approximations to the convolution operator of Volterra type defined by functions that are approximated using classical orthog…
Unique positive solution for an alternative discrete Painlevé I equation
Peter A. Clarkson, Ana F. Loureiro, Walter Van Assche
We show that the alternative discrete Painlevé I equation (alt-dP) has a unique solution which remains positive for all . Furthermore, we identify this positive…
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
Ana F. Loureiro, Jiang Zeng
We introduce, characterise and provide a combinatorial interpretation for the so-called -Jacobi-Stirling numbers. This study is motivated by their key role in the (reciprocal) e…
The Kontorovich-Lebedev transform as a map between -orthogonal polynomials
Ana F. Loureiro, S. Yakubovich
A slight modification of the Kontorovich-Lebedev transform is an automorphism on the vector space of polynomials. The action of this -transform over certain polynomial sequen…
Central factorials under the Kontorovich-Lebedev transform of polynomials
Ana F. Loureiro, S. Yakubovich
We show that slight modifications of the Kontorovich-Lebedev transform lead to an automorphism of the vector space of polynomials. This circumstance along with the Mellin transform…
On a nonorthogonal polynomial sequence associated with Bessel operator
Ana F. Loureiro, P. Maroni, S. Yakubovich
By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them, its explicit expression, the connection with the Euler numbe…