Riordan Arrays, Sheffer Sequences and "Orthogonal" Polynomials
Giacomo Della Riccia
Dept. of Math. and Comp. Science - Research Center Norbert Wiener
University of Udine
Via delle Scienze 206
Riordan group concepts are combined with the basic properties of
convolution families of polynomials and Sheffer
sequences, to establish a duality law, canonical
, where the
are polynomials in
, holding for each
Riordan array. Examples
are given, in
are ``orthogonal'' polynomials currently found in
mathematical physics and combinatorial analysis.
Full version: pdf,
Received October 17 2008;
revised version received December 11 2008.
Published in Journal of Integer Sequences, December 11 2008.
Journal of Integer Sequences home page