A new formula for the coefficients of Gaussian polynomials

Dorin Andrica; Ovidiu Bagdasar

doi:10.2478/auom-2019-0031

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A new formula for the coefficients of Gaussian polynomials

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 27 (2019): Issue 3 (December 2019)

By: Dorin Andrica and Ovidiu Bagdasar

Open Access

|Dec 2019

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2019-0031 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 25 - 35

Submitted on: Jan 2, 2019

Accepted on: Jan 31, 2019

Published on: Dec 21, 2019

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Gaussian polynomial,

multinomial polynomial,

Catalan polynomial,

polygonal polynomial,

integral formula

Related subjects:

Mathematics,

General mathematics

© 2019 Dorin Andrica, Ovidiu Bagdasar, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2019): Issue 3 (December 2019)