| Title |
THE COMPLEMENTARY POLYNOMIALS AND THE RODRIGUES OPERATOR OF CLASSICAL ORTHOGONAL POLYNOMIALS |
| Authors |
COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan Espanol, Francisco |
| External publication |
Si |
| Means |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
2 |
| SJR Quartile |
1 |
| JCR Impact |
0.609 |
| SJR Impact |
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 |
| Publication date |
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. |
| Keywords |
Classical orthogonal polynomials; Rodrigues operator; complementary polynomials; generating formula |
| Universidad Loyola members |
|
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