Results 51 to 60 of about 4,735 (303)
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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Trace identities and polynomial identities of n × n matrices [PDF]
, 1976 A simple criterion for trace identities of n × n matrices over a commutative ring is given, from which the Procesi-Razmyslov criterion in terms of Young symmetrizers is deduced.
Leron, Uri
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On The *-polynomial Identities Of M1,1(e) [PDF]
, 2015 In this paper we consider the algebra M1,1(E) endowed with the involution * induced by the transposition superinvolution of the superalgebra M1,1(F) of 2×2-matrices over the field F.
Di Vincenzo O.M. +3 more
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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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Identities for the Generalized Fibonacci Polynomial
Integers, 2017 See the abstract in the attached pdf.
Rigoberto Flórez +2 more
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A glimpse into the Asymptotics of polynomial identities [PDF]
, 2017 This a survey paper on the most significant results in the combinatorial theory of polynomial identities.
Janssens, Geoffrey
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Annals of Combinatorics / Elementary polynomial identities involving q-trinomial coefficients [PDF]
, 2019 We use the q-binomial theorem to prove three new polynomial identities involving q-trinomial coefficients. We then use summation formulas for the q-trinomial coefficients to convert our identities into another set of three polynomial identities, which imply ...
Uncu, Ali Kemal, Berkovich, Alexander
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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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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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