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F. Marcellán

3 papers hereh-index 335.5k citations304 works total

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author position
  • middle author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.CA3

identity via Semantic Scholar / OpenAlex

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

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

collaborators
Showing math.CAShow all

3 papers · 1 filter

math.CA2009

Vector interpretation of the matrix orthogonality on the real line

A. Branquinho, F. Marcellán, A. Mendes

In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix…

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 {Pn​} a sequence of monic orthogonal polynomials, we analyze their linear combinations {Qn​}with constant coefficients and fixed length k+1. Necessary and suffici…

math.CA2007

Hardy-type theorem for functions orthogonal with respect to their zeros. The Jacobi weight case

L. D. Abreu, F. Marcellan, S. Yakubovich

Motivated by G. H. Hardy's 1939 results \cite{Hardy} on functions orthogonal with respect to their real zeros λn​,n=1,2,..., we will consider, within the same general conditi…

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