共查询到20条相似文献,搜索用时 62 毫秒
1.
初文昌 《纯粹数学与应用数学》1993,9(1):1-6
本文提出联系两类组合恒等式的极限方法,据此可二项式系数和项式系数恒等式自然过渡到Abel型系数的组合等式。因此对任一给定的含参量的二项式系数的组合恒等式。这一方法可用于直接证明其至发现相同结构的Abel系数恒等式。 相似文献
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关于包含Hermite—Laguerre多项式的恒等式 总被引:1,自引:0,他引:1
通过讨论一类函数的高阶导数,建立了一些包含Hermite-Laguerre多项式的恒等式,推广了名的Cauchy-Sheehan组合恒等式。 相似文献
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本文我们证明了二阶椭圆型方程组控制增长条件下的广义解及自然增长条件下的连续广义解的Pohozaev型恒等式.作为应用,我们给出了自然增长二次泛函的W_o~(1,2)极小点有界或连续在某种意义下的充分必要条件.另外还给出了在调和映射中的一个应用. 相似文献
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利用一个基本超几何函数的变换公式及其最基本的求和公式,对Gessel I.和Stanton D。发现的两个Rogers-Ramanujan恒等式,给出一种新的、更为简单的证明。 相似文献
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利用q-超球多项式的两个简单性质,建立了关于q-级数的两个变换公式,借助这些变换公式并结合著名的Rogers-Ramanujan恒等式,给出了若干Rogers-Ramanujan型恒等式的简洁证明。 相似文献
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本文利用初等方法简捷地推了Paule的结果,从而得到了一系列多重Rogers-Ramanujan恒等式。 相似文献
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给出了广义相对论的Feynman规则,计算了二点顶角函数,并用W-T恒等式对二点正规顶角进行了直至单圈阶的验证. 相似文献
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J. Płonka 《Southeast Asian Bulletin of Mathematics》2002,25(3):495-502
We consider algebras of a type , without nullary fundamental operation symbols. A structural property p of an identity of type is hereditary if for every set I of identities of type having the property p every consequence of I (derived identity) has the property p. An algebra
of type we call characteristic for a hereditary property p if for every variety V of type we have:
V if and only if every identity from Id(V) has the property p. In this paper we show minimal characteristic algebras for several hereditary properties, e.g., to be regular, to be normal, etc.1991 Mathematics Subject Classification
08B05 相似文献
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《代数通讯》2013,41(7):3311-3326
Abstract Let R be a prime ring and 𝒰(R) its group of units. We prove that if 𝒰(R) satisfies a group identity and 𝒰(R) generates R,then either R is a domain or R is isomorphic to the algebra of n × n matrices over a finite field of order d. Moreover the integers n and d depend only on the group identity satisfed by 𝒰(R). This result has been recently proved by C. H. Liu and T. K. Lee (Liu,C. H.; Lee,T. K. Group identities and prime rings generated by units. Comm. Algebra (to appear)) and here we present a new different proof. 相似文献
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Xiao Mei Yang 《数学学报(英文版)》2010,26(6):1115-1124
In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan's identities, Winquist's identity and many other interesting identities. 相似文献
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L. M. Samoilov 《Mathematical Notes》1999,65(2):208-213
In the paper, trinomial identities of associative algebras over an infinite field are considered (in general, the algebras
may have no unit), i.e., identities of the formα
m
1+β
m
2+γ
m
3=0, where α, β, and γ are scalars andm
1,m
2, andm
3 are different monomials. It is shown that any nontrivial identity if this kind implies a semigroup identity. The algebras
with trinomial identities are characterized in the language of varieties.
Translated fromMatematicheskie Zametki, Vol. 65, No. 2, pp. 254–260, February, 1999. 相似文献
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Ira M. Gessel 《Journal of Combinatorial Theory, Series A》2008,115(8):1417-1435
We introduce an elementary method to give unified proofs of the Dyson, Morris, and Aomoto identities for constant terms of Laurent polynomials. These identities can be expressed as equalities of polynomials and thus can be proved by verifying them for sufficiently many values, usually at negative integers where they vanish. Our method also proves some special cases of the Forrester conjecture. 相似文献
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《代数通讯》2013,41(10):5003-5010
Abstract Let R be a prime ring of characteristic different from 2, d a non-zero derivation of R, I a non-zero right ideal of R, a ∈ R, S 4(x 1,…, x 4) the standard polynomial in 4 variables. Suppose that, for any x, y ∈ I, a[d([x, y]), [x, y]] = 0. If S 4(I, I, I, I)I ≠ 0, then aI = ad(I) = 0. 相似文献
18.
Victor J.W. Guo 《Discrete Mathematics》2008,308(9):1756-1759
We first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which also leads to a double-sum extension of the q-Chu-Vandermonde formula. 相似文献
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Chang Lin Mai-mai Lin 《Communications in Nonlinear Science & Numerical Simulation》2010,15(2):232-237
A type of higher dimensional loop algebra is constructed from which an isospectral problem is established. It follows that an integrable coupling, actually an extended integrable model of the existed solitary hierarchy of equations, is obtained by taking use of the zero curvature equation, whose Hamiltonian structure is worked out by employing the constructed quadratic identity. 相似文献
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William Y.C. Chen Qing-Hu Hou Lisa H. Sun 《Journal of Combinatorial Theory, Series A》2011,118(3):899-907
We present a method for proving q-series identities by combinatorial telescoping, in the sense that one can transform a bijection or a classification of combinatorial objects into a telescoping relation. We shall illustrate this method by giving a combinatorial derivation of Watson's identity, which implies the Rogers-Ramanujan identities. 相似文献