A triple lacunary generating function for Hermite polynomials

Details A triple lacunary generating function for Hermite polynomials A triple lacunary generating function for Hermite polynomials

2004-03-04

arxiv.org/abs/math/0403086v2

Elect. J. of Combinatorics 12(1) (2005)

Mathematics

Combinatorics

14 pages, 7 figures, shorter combinatorial proof

Scientific paper

Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These combinatorial interpretations are used to prove new identities and generating functions involving these polynomials. In this paper we apply Foata's combinatorial interpretation of the Hermite polynomials as counting matchings of a set to obtain a triple lacunary generating function for the Hermite polynomials. We also give an umbral proof of this generating function.

Affiliated with

Also associated with

No associations

Rating

A triple lacunary generating function for Hermite polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A triple lacunary generating function for Hermite polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A triple lacunary generating function for Hermite polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591169