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1.
In this paper, we give several new transformation formulae and generalize one result obtained by Singh [U.B. Singh, Certain bibasic hypergeometric transformations and their applications, J. Math. Anal. Appl. 201 (1996) 44-56] with the help of Bailey's transform. Further, some new multiple series identities of the Rogers-Ramanujan type are established.  相似文献
2.
谢红梅  刘文昱 《经济数学》2004,21(4):312-319
本文研究保费到达为平衡更新过程的复合更新风险模型 ,给出了有限时间内的生存概率分布 ,破产时间 T与破产时资产盈余 U(T)的联合分布 ,及破产时间 T与破产前瞬时盈余 U(T- )的联合分布 .  相似文献
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4.
By two Slater's hypergeometric series identities, we establish two general summation formulas with six free parameters. Specializing certain parameters in these formulas, we obtain a list of Ramanujan-type series formulas for π  , π2π2 and π3π3.  相似文献
5.
In this paper, we derive recursions of some RNA secondary structures with certain properties under two new representations. Furthermore, by making use of methods of asymptotic analysis and generating functions we present asymptotic enumeration of these RNA secondary structures.  相似文献
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7.
Hongmei Liu 《Discrete Mathematics》2009,309(10):3346-5728
In this paper, by the generating function method, we establish various identities concerning the (higher order) Bernoulli polynomials, the (higher order) Euler polynomials, the Genocchi polynomials and the degenerate higher order Bernoulli polynomials. Particularly, some of these identities are also related to the power sums and alternate power sums. It can be found that, many well known results, especially the multiplication theorems, and some symmetric identities demonstrated recently, are special cases of our results.  相似文献
8.
Let $FF_v$ be the set of faulty nodes in an $n$-dimensional folded hypercube $FQ_{n}$ with $|FF_v| \leq n-1$ and all faulty vertices are not adjacent to the same vertex. In this paper, we show that if $n\geq 4 $, then every edge of $FQ_{n}-FF_v$ lies on a fault-free cycle of every even length from 6 to $2^{n}-2|FF_v|.$  相似文献
9.
Let G =(V, E) be a connected graph and m be a positive integer, the conditional edge connectivity λ_δ~m is the minimum cardinality of a set of edges,if it exists, whose deletion disconnects G and leaves each remaining component with minimum degree δ no less than m. This study shows that λ_δ~1(Q_(n,k)) = 2 n,λ_δ~2(Q_(n,k)) = 4 n-4(2 ≤ k ≤ n-1, n ≥ 3) for n-dimensional enhanced hypercube Q_(n,k). Meanwhile, another easy proof about λ_δ~2(Q_n) = 4 n-8, for n ≥ 3 is proposed. The results of enhanced hypercube include the cases of folded hypercube.  相似文献
10.
Let Qn,k(n≥3,1≤k≤n-1) be an n-dimensional enhanced hypercube which is an attractive variant of the hypercube and can be obtained by adding some complementary edges,fv and fe be the numbers of faulty vertices and faulty edges,respectively.In this paper,we give three main results.First,a fault-free path P [u,v] of length at least 2n-2fv-1(respectively,2n-2fv-2) can be embedded on Qn,k with fv+fe≤n-1 when d Qn,k(u,v) is odd(respectively,d Qn,k(u,v) is even).Secondly,an Qn,k is(n-2) edgefault-free hyper Hamiltonian-laceable when n(≥3) and k have the same parity.Lastly,a fault-free cycle of length at least 2n-2fv can be embedded on Qn,k with fe≤n-1 and fv+fe≤2n-4.  相似文献
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