Results 31 to 40 of about 713,237 (306)
Identities for the Generalized Fibonacci Polynomial
Integers, 2017 See the abstract in the attached pdf.
Rigoberto Flórez +2 more
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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
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Star-fundamental algebras: Polynomial identities and asymptotics [PDF]
, 2020 We introduce the notion of star-fundamental algebra over a field of characteristic zero. We prove that in the framework of the theory of polynomial identities, these algebras are the building blocks of a finite dimensional algebra with involution. To any
Giambruno A, Milies C. P., La Mattina D
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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
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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 +2 more
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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
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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.
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Some fundamental Fibonacci number congruences [PDF]
Notes on Number Theory and Discrete MathematicsThis paper investigates a number of congruence properties related to the coefficients of a generalized Fibonacci polynomial. This polynomial was defined to produce properties comparable with those of the standard polynomials of some special functions ...
Anthony G. Shannon +3 more
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Mathematics, 2020 An arbitrary univariate polynomial of nth degree has n sequences. The sequences are systematized into classes. All the values of the first class sequence are obtained by Newton’s polynomial of nth degree. Furthermore, the values of all sequences for each
Ilija Tanackov +2 more
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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