CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
2 × 2 hypergeometric operators with diagonal eigenvalues
Autor/es:
PACHARONI, I.; CALDERÓN, C.; SIMONDI, S.; GONZÁLEZ, Y.; ZURRIÁN, I.
Revista:
JOURNAL OF APPROXIMATION THEORY
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2019 vol. 248
ISSN:
0021-9045
Resumen:
In this work we give all the order-two hypergeometric operators , symmetric with respect to some 2 × 2 irreducible matrix-weight on such that with no repetition among the eigenvalues , where is the (unique) sequence of monic orthogonal polynomials with respect to W on (0,1) such that DP_n=P_n(l_n 0 o m_n) with no repetition among the eigenvalues {l_n,m_n}, where (P_n) is the (unique) sequence of monic orthogonal polynomials with respect to W.We obtain a new family of such operators and weights, depending on three parameters, generalizing some older examples. We also give, in a very explicit way, the corresponding monic orthogonal polynomials, their three term recurrence relation and their squared matrix-norms.