COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan Espanol, Francisco
Si
Proc. Am. Math. Soc.
Article
Científica
0.609
1.108
01/10/2012
000309487600016
2-s2.0-84862899688
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. 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.
Classical orthogonal polynomials; Rodrigues operator; complementary polynomials; generating formula