Castillo, K. [UNESP]Dimitrov, D. K. [UNESP]Garza, L. E.Rafaeli, F. R. [UNESP]2014-05-272014-05-272013-08-12Applied Mathematics and Computation, v. 221, p. 444-452.0096-3003http://hdl.handle.net/11449/76251Given 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. © 2013 Elsevier Ltd. All rights reserved.444-452engHankel matrixLaguerre-Hahn classLinear moment functionalOrthogonal polynomialsZerosLinear momentsOrthogonal polynomialLinear transformationsMatrix algebraOrthogonal functionsMathematical transformationsArtigo10.1016/j.amc.2013.07.004WOS:000324579400042Acesso restrito2-s2.0-848811823081681267716971253