Closed-form expression for Hankel determinants of the Narayana polynomials

Title:

Closed-form expression for Hankel determinants of the Narayana polynomials

Creator:

Petković, Marko D., Barry, Paul, and Rajković, Predrag

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:99185738-c04e-4be5-8ae7-72186589664b
uuid:99185738-c04e-4be5-8ae7-72186589664b

Subject:

Narayana numbers, Hankel transform, and orthogonal polynomials

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana and shifted Narayana polynomials.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

39-57

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:1

Harvested from:

CDK

Metadata only:

false