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- University of CoimbraPT7 papers
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14 papers
On lax epimorphisms and the associated factorization
Fernando Lucatelli Nunes, Lurdes Sousa
We study lax epimorphisms in 2-categories, with special attention to and -. We show that any 2-category with convenient colimits has an or…
A proof of a conjecture about a symmetric system of orthogonal polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
A note on orthogonal polynomials described by Chebyshev polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
The purpose of this note is to extend in a simple and unified way some results on orthogonal polynomials with respect to the weight function $$\frac{|T_m(x)|^p}{\sqrt{1-x^2}}\;,\qu…
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials
K. Castillo, M. N. de Jesus, J. Petronilho
In a companion paper [On semiclassical orthogonal polynomials via polynomial mappings, J. Math. Anal. Appl. (2017)] we proved that the semiclassical class of orthogonal polynomials…
Aspects of algebraic Algebras
Dirk Hofmann, Lurdes Sousa
In this paper we investigate important categories lying strictly between the Kleisli category and the Eilenberg-Moore category, for a Kock-Zöberlein monad on an order-enriched cate…
A numerical method to solve higher-order fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos
In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation form…