A. Peña

activity

20002009

most citedWhen do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

2 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

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…

math.CA2007★ 2 cited

When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

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

Given ${P_{n}}$ a sequence of monic orthogonal polynomials, we analyze their linear combinations ${Q_{n}}$ with constant coefficients and fixed length $k + 1$ . Necessary and suffici…

math.FA2000

Inequalities for the Gamma Function and estimates for the volume of sections of $B_{p}^{n}$

Jesus Bastero, Fernando Galve, Ana Pena +1

We consider $k$ -dimensional central sections of the unit ball of $ℓ_{p}^{n}$ (denoted $B_{p}^{n}$ ) and we prove that their volume are bounded by the volume of $B_{p}^{n}$ whenever $1 < p < 2$ a…

Orthogonal polynomials associated with an inverse quadratic spectral transform

Asymptotics for a generalization of Hermite polynomials

When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

Inequalities for the Gamma Function and estimates for the volume of sections of Bpn​

Inequalities for the Gamma Function and estimates for the volume of sections of $B_{p}^{n}$