On linear combinations of L-orthogonal polynomials associated with distributions belonging to symmetric classes

• Autor(a) principal: Batelo, M. A.
• Data de Publicação: 2005
• Outros Autores: Bracciali, Cleonice Fátima [UNESP], Ranga, A. S.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.cam.2004.09.032; http://hdl.handle.net/11449/33768
• topic: L-orthogonal polynomials; symmetric distribution functions; Three term recurrence relations

This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution function psi epsilon S-3(omega, beta, b) has a (reciprocal) symmetry, depending on omega, about the point beta. We consider properties of the L-orthogonal polynomials associated with psi epsilon S-3(omega, beta, b). Through linear combination of these polynomials we relate them to the L-orthogonal polynomials associated with some omega epsilon S-3(1/2, beta, b). (c) 2004 Elsevier B.V. All rights reserved.