RT Journal Article
T1 Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime
A1 Huertas Cejudo, Edmundo José
A1 Marcellán Español, Francisco José
A1 Pérez Valero, María Francisca
A1 Quintana, Yamilet
AB In this paper we consider sequences of polynomials orthogonal with respect to the discrete Sobolev inner product(f.g)_s ∫_°^∞ f(x)g(x)  x^(α ) e dx+F(c)ΑG(c)^t,       α>    1where f and g are polynomials with real coefficients A∈ R^2.2 and the vectors F(c), G(c) areA=(■(M&0@0&N)),   F(c)=(f(c),f'(c) )   G(c)=(g(c),g'(c))with M,N ∈ R and the mass point c is located inside the oscillatory region for the classicalLaguerre polynomials. We focus our attention on the representation of these polynomialsin terms of classical Laguerre polynomials and we analyze the behavior of the coefficientsof the corresponding five term recurrence relation when the degree of the polynomials islarge enough. Also, the outer relative asymptotics of the Laguerre Sobolev type with respect to the Laguerre polynomials is analyzed.
PB Elsevier
SN 0096-3003
YR 2014
FD 2014-06-01
LK http://hdl.handle.net/10016/23321
UL http://hdl.handle.net/10016/23321
LA eng
DS e-Archivo
RD 28 abr. 2024