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2018-04-16-CJM-Polygonal-Final ...
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pre-print, accepted for publication ...
Abstract
In this paper we define the $n$th polygonal polynomial $P_n(z) = (z-1)(z^2-1)\cdots(z^n-1)$ and we investigate recurrence relations and exact integral formulae for the coefficients of $P_n(z)$ and for those of the Mahonian polynomials $Q_n(z)=(z+1)(z^2+z+1)\cdots(z^{n-1}+\cdots+z+1)$. We also explore numerical properties of these coefficients, unraveling new meanings for old sequences and generating novel entries to the Online Encyclopedia of Integer Sequences (OEIS). Some open questions are also formulated.Citation
Andrica, D., and Bagdasar, O. (2019) ‘On some results concerning the polygonal polynomials’, Carpathian Journal of Mathematics (35)1, pp. 1-11.Publisher
Technical University of Cluj-Napoca.Journal
Carpathian Journal of Mathematics.Additional Links
https://www.carpathian.cunbm.utcluj.ro/accepted-papers/https://www.carpathian.cunbm.utcluj.ro/article/on-some-results-concerning-the-polygonal-polynomials/
Type
ArticleLanguage
enISSN
1584-2851EISSN
1843-4401Collections
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