# Search results for: M. Luisa Rezola

Numerical Algorithms > 2014 > 66 > 3 > 525-553

*M*

_{ n }are constant matrices of proper...

Computers and Mathematics with Applications > 2011 > 61 > 4 > 888-900

Journal of Computational and Applied Mathematics > 2010 > 233 > 6 > 1446-1452

Journal of Mathematical Analysis and Applications > 2004 > 298 > 1 > 171-183

Journal of Mathematical Analysis and Applications > 2003 > 287 > 1 > 307-319

_{n}} be a sequence of polynomials orthogonal with respect a linear functional u and {Q

_{n}} a sequence of polynomials defined by P

_{n}(x)+s

_{n}P

_{n}

_{-}

_{1}(x)=Q

_{n}(x)+t

_{n}Q

_{n}

_{-}

_{1}(x). We find necessary and sufficient conditions in order to {Q

_{n}} be a sequence of polynomials orthogonal with respect to a linear functional...

Journal of Approximation Theory > 2003 > 122 > 1 > 79-96

_{n}be polynomials orthogonal with respect to the inner product(f,g)

_{S}=∫0~fgdμ

_{0}+λ∫0~f'g'dμ

_{1},where dμ

_{0}=x

^{α}e

^{-}

^{x}dx,dμ

_{1}=x

^{α}

^{+}

^{1}e

^{-}

^{x}x-ξdx+Mδ

_{ξ}with α>-1,ξ=<0,M>=0, and λ>0. A strong asymptotic on (0,~), a Mehler-Heine type formula, a Plancherel-Rotach type exterior asymptotic...

Journal of Computational and Applied Mathematics > 2002 > 145 > 2 > 379-386

_{n}

^{(}

^{α}

^{,}

^{β}

^{)}(x) are orthogonal with respect to a quasi-definite linear functional whenever α,β, and α+β+1 are not negative integer numbers. Recently, Sobolev orthogonality for these polynomials has been obtained for α a negative integer and β not a negative integer and also for the case α=β negative integer numbers.In this...

Journal of Computational and Applied Mathematics > 2001 > 133 > 1-2 > 141-150

_{n}be the polynomials orthogonal with respect to the Sobolev inner product(f,g)

_{S}=∫fgdμ

_{0}+∫f'g'dμ

_{1},being (μ

_{0},μ

_{1}) a coherent pair where one of the measures is the Hermite measure. The outer relative asymptotics for Q

_{n}with respect to Hermite polynomials are found. On the other hand, we consider the Sobolev scaled polynomials and...

Acta Applicandae Mathematicae > 2000 > 61 > 1-3 > 3-14

*f*,

*g*)

_{ S }=>

*u*

_{0},

*f*

*g*< + >

*u*

_{1},

*f*"

*g*"<, with

*u*

_{0}and

*u*

_{1}linear functionals, a characterization of the linear second–order differential operators with polynomial coefficients, symmetric with respect to (⋅, ⋅)

_{ S }in terms of

*u*

_{0}and

*u*

_{1}is obtained. In particular, several interesting functionals

*u*

_{0}and

*u*

_{1}are considered, recovering as particular...