Results 31 to 40 of about 693,995 (304)

Identities for the Generalized Fibonacci Polynomial

Integers, 2017
See the abstract in the attached pdf.
Rigoberto Flórez, Nathan McAnally, Antara Mukherjee   +2 more
openaire   +5 more sources

Multialternating graded polynomials and growth of polynomial identities [PDF]

Proceedings of the American Mathematical Society, 2013
Let G G be a finite group and
Aljadeff, E, GIAMBRUNO, Antonino
openaire   +3 more sources

On a generalization of the Hosoya triangle [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi, Hamza Menken, Orhan Dişkaya   +2 more
doaj   +1 more source

Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials

Partial Differential Equations in Applied Mathematics, 2023
In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension ...
Samaher A. Abdul-Ghani, Husam L. Saad
doaj   +1 more source

Commutativity of one sided s-unital rings through a Streb's result

International Journal of Mathematics and Mathematical Sciences, 1997
The main theorem proved in the present paper states as follows “Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n ...
Murtaza A. Quadri, V. W. Jacob, M. Ashraf   +2 more
doaj   +1 more source

Some Polynomial Sequence Relations

Mathematics, 2019
We give some polynomial sequence relations that are generalizations of the Sury-type identities. We provide two proofs, one based on an elementary identity and the other using the method of generating functions.
Chan-Liang Chung
doaj   +1 more source

Polynomial identities for partitions

European Journal of Combinatorics, 1992
Set \(P_ 1(q)=1-q\) and \(P_ k(q)=\sum_{d\mid k}\mu(k/d)\) for \(k>1\). For every integer \(m>1\) define \[ P^ +_{k,m}(q)=P_ k(q)(P_ k(q)+k)(P_ k(q)+2k)\cdots(P_ k(q)+(m-1)k), \] \[ P^ -_{k,m}(q)=P_ k(q)(P_ k(q)-k)(P_ k(q)-2k)\cdots(P_ k(q)-(m-1)k); \] and set \(P^ +_{k,0}(q)=P^ -_{k,0}(q)=1\).
openaire   +1 more source

Superalgebras: Polynomial identities and asymptotics

Journal of Algebra, 2022
Let \(A\) be an associative superalgebra, one attaches to it the \textit{sequence of supercodimensions} \(c_n^{\sup}(A)\), \(n \ge1\). In case of characteristic zero, it is well known that for a PI-superalgebra such a sequence is exponentially bounded, and the limit \(\exp^{\sup}(A) = \lim_{n\to\infty}\sqrt[n]{c_n^{\sup}(A)}\) exists and is an integer ...
Giambruno A., La Mattina D.
openaire   +3 more sources

Hopf algebras and polynomial identities

, 2010
International audienceThis is a survey of results obtained jointly with E. Aljadeff and published in Adv. Math. 218 (2008), 1453-1495. We explain how to set up a theory of polynomial identities for comodule algebras over a Hopf algebra, and concentrate ...
Kassel, Christian
core   +3 more sources

Polynomial cubic splines with tension properties [PDF]

, 2010
In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM ...
Costantini, P., Manni, C., Kaklis, Panagiotis   +2 more
core   +4 more sources