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cs.SC2013★ 50 cited
Misfortunes of a mathematicians' trio using Computer Algebra Systems: Can we trust?
Antonio J. Durán, Mario Pérez, Juan L. Varona
Computer algebra systems are a great help for mathematical research but sometimes unexpected errors in the software can also badly affect it. As an example, we show how we have det…
math.CA2013★ 1 cited
Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations
Antonio J. Durán
We introduce the concept of $\D$-operators associated to a sequence of polynomials and an algebra $\A$ of operators acting in the linear space of polynomials. In this pap…