Identities involving Narayana polynomials and Catalan numbers

Details Identities involving Narayana polynomials and Catalan numbers Identities involving Narayana polynomials and Catalan numbers

2008-05-09

arxiv.org/abs/0805.1274v1

Mathematics

Combinatorics

13 pages,6 figures

Scientific paper

We first establish the result that the Narayana polynomials can be represented as the integrals of the Legendre polynomials. Then we represent the Catalan numbers in terms of the Narayana polynomials by three different identities. We give three different proofs for these identities, namely, two algebraic proofs and one combinatorial proof. Some applications are also given which lead to many known and new identities.

Affiliated with

Also associated with

No associations

Rating

Identities involving Narayana polynomials and Catalan numbers 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 Identities involving Narayana polynomials and Catalan numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Identities involving Narayana polynomials and Catalan numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332077