<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of their extensions is applied.</p></abstract>

We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of their extensions is applied.

A new formula for the coefficients of Gaussian polynomials

Faculty of Mathematics and Computer Science

Computing and Mathematics University of Derby Kedleston Road

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A new formula for the coefficients of Gaussian polynomials"}

We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4]...

A new formula for the coefficients of Gaussian polynomials

Published Online: Dec 21, 2019

Page range: 25 - 35

Received: Jan 02, 2019

Accepted: Jan 31, 2019

DOI: https://doi.org/10.2478/auom-2019-0031

Keywords
Gaussian polynomial, multinomial polynomial, Catalan polynomial, polygonal polynomial, integral formula

© 2019 Dorin Andrica et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A new formula for the coefficients of Gaussian polynomials

Published Online: Dec 21, 2019

Page range: 25 - 35

Received: Jan 02, 2019

Accepted: Jan 31, 2019

DOI: https://doi.org/10.2478/auom-2019-0031

KeywordsGaussian polynomial, multinomial polynomial, Catalan polynomial, polygonal polynomial, integral formula

© 2019 Dorin Andrica et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Gaussian polynomial, multinomial polynomial, Catalan polynomial, polygonal polynomial, integral formula