Title THE COMPLEMENTARY POLYNOMIALS AND THE RODRIGUES OPERATOR OF CLASSICAL ORTHOGONAL POLYNOMIALS
Authors COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan Espanol, Francisco
External publication Si
Means Proc. Am. Math. Soc.
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 0.60900
SJR Impact 1.10800
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
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