Manuel Alfaro

most citedOrthogonal polynomials associated with an inverse quadratic spectral transform

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math.CA2009★ 1 cited

Orthogonal polynomials associated with an inverse quadratic spectral transform

M. Alfaro, F. Marcellan, A. Pena +1

Let ${P_{n}}_{n \geq 0}$ be a sequence of monic orthogonal polynomials with respect to a quasi--definite linear functional $u$ and ${Q_{n}}_{n \geq 0}$ a sequence of polynomials define…

math.CA2009

Asymptotics for a generalization of Hermite polynomials

M. Alfaro, J. J. Moreno-Balcazar, A. Pena +1

We consider a generalization of the classical Hermite polynomials by the addition of terms involving derivatives in the inner product. This type of generalization has been studied…