Title
Five convolution formulae of orthogonal polynomials
Abstract
By means of the classical Lagrange expansion theorem, five convolution formulae are established for the orthogonal polynomials named after Laguerre, Jacobi, Meixner, Gegenbauer and Pollaczek, that contain the well-known Hagen–Rothe formula for binomial coefficients as common special case.
Year
DOI
Venue
2011
10.1016/j.amc.2011.03.029
Applied Mathematics and Computation
Keywords
Field
DocType
Orthogonal polynomials,Convolution identities,Hagen–Rothe formulae
Wilson polynomials,Laguerre polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Gegenbauer polynomials,Discrete orthogonal polynomials,Jacobi polynomials,Mehler–Heine formula,Mathematics
Journal
Volume
Issue
ISSN
217
21
0096-3003
Citations 
PageRank 
References 
1
0.36
0
Authors
2
Name
Order
Citations
PageRank
Wenchang Chu17720.68
Peipei Tang221.42