A new formula for the coefficients of Gaussian polynomials-Reference-Cited by-同舟云学术

A new formula for the coefficients of Gaussian polynomials

Published:2019-12-01 Issue:3 Volume:27 Page:25-35
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Andrica Dorin¹,Bagdasar Ovidiu²

Affiliation:

1. Faculty of Mathematics and Computer Science , Babeş-Bolyai University of Cluj-Napoca , Kogălniceanu Street, Nr. 1, 400084 Cluj-Napoca , Romania .

2. Department of Electronics , Computing and Mathematics University of Derby Kedleston Road , Derby DE22 1GB , England, UK .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0031

Reference12 articles.

1. [1] G. Andrews, The Friedman-Joichi-Stanton monotonicity conjecture at primes, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, 2004, pp. 9–15.10.1090/dimacs/064/02

2. [2] D. Andrica, O. Bagdasar, On cyclotomic polynomial coe cients, Malays. J. Math. Sci., in: Proceedings of “Groups, Group Rings, and Related Topics - 2017” (GGRRT 2017), 19 - 22 Nov 2017, Khorfakan, UAE (2018) (to appear).

3. [3] D. Andrica, O. Bagdasar, Some remarks on a general family of complex polynomials, (2018) (submitted).

4. [4] D. Andrica, O. Bagdasar, On some results concerning the polygonal polynomials, Carpathian J. Math. (2019) (to appear).10.37193/CJM.2019.01.01

5. [5] S. Brunetti, A. D. Lungo, On the polynomial1[n]q(kn)q{1 \over {{{[n]}_q}}}{\left( {_k^n} \right)_q}Adv. Appl. Math. 33 (2004), no. 3, 487–491.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Fast Algorithm for Computing the Number of Magic Series;Annals of Combinatorics;2022-04-28