| Título | THE COMPLEMENTARY POLYNOMIALS AND THE RODRIGUES OPERATOR OF CLASSICAL ORTHOGONAL POLYNOMIALS |
|---|---|
| Autores | COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan Espanol, Francisco |
| Publicación externa | Si |
| Medio | Proc. Am. Math. Soc. |
| Alcance | Article |
| Naturaleza | Científica |
| Cuartil JCR | 2 |
| Cuartil SJR | 1 |
| Impacto JCR | 0.609 |
| Impacto SJR | 1.108 |
| Web | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84862899688&doi=10.1090%2fS0002-9939-2012-11229-8&partnerID=40&md5=c20f157f115306a86b45e3e2f8b3e1d5 |
| Fecha de publicacion | 01/10/2012 |
| ISI | 000309487600016 |
| Scopus Id | 2-s2.0-84862899688 |
| DOI | 10.1090/S0002-9939-2012-11229-8 |
| Abstract | From the Rodrigues representation of polynomial eigenfunctions of a second order linear hypergeometric-type differential (difference or q-difference) operator, complementary polynomials for classical orthogonal polynomials are constructed using a straightforward method. Thus a generating function in a closed form is obtained.\n For the complementary polynomials we present a second order linear hypergeometric-type differential (difference or q-difference) operator, a three-term recursion and Rodrigues formulas which extend the results obtained by H.,I. Weber for the standard derivative operator. |
| Palabras clave | Classical orthogonal polynomials; Rodrigues operator; complementary polynomials; generating formula |
| Miembros de la Universidad Loyola |