## Abstract

Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal of the Hankel matrix. We define a linear functional whose action results in such a perturbation and establish necessary and sufficient conditions in order to preserve the quasi-definite character. A relation between the corresponding sequences of orthogonal polynomials is obtained, as well as the asymptotic behavior of their zeros. We also study the invariance of the Laguerre-Hahn class of linear functionals under such perturbation, and determine its relation with the so-called canonical linear spectral transformations.

Original language | English |
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Pages (from-to) | 444-452 |

Number of pages | 9 |

Journal | Applied Mathematics and Computation |

Volume | 221 |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics