A new formula for the coefficients of Gaussian polynomials
Name:
(2019) Ovidius - Gaussian ...
Embargo:
2020-04-30
Size:
133.1Kb
Format:
PDF
Description:
Main article, accepted
Authors
Bagdasar, Ovidiu
Affiliation
University of DerbyIssue Date
2019Metadata
Show full item recordAbstract
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.Citation
Bagdasar, O., and Andrica, D. (2019) 'A new formula for the coefficients of Gaussian polynomials'. Analele Stiintifice ale Universitatii Ovidius Constanta. (In press).Journal
Analele Stiintifice ale Universitatii Ovidius ConstantaAdditional Links
http://www.emis.ams.org/journals/ASUO/accepted-papers.htmlType
ArticleLanguage
enISSN
12241784Collections
Related items
Showing items related by title, author, creator and subject.
-
On cyclicity and density of some Catalan polynomial sequencesWe give proofs of cyclic and density properties of some sequences generated by Catalan polynomials, and other observations.
-
Some factorisation and divisibility properties of Catalan polynomialsWe present some factorisation and divisibility properties of Catalan polynomials. Initial results established with ad hoc proofs then make way for a more systematic approach and use of the well developed theory of cyclotomic polynomials.
-
A non-linear identity for a particular class of polynomial familiesWe state and prove a new non-linear identity for a class of polynomial families associated with integer sequences whose ordinary generating functions have quadratic governing equations with functional (polynomial) coefficients.
