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In this paper, we deal with several combinatorial sums and some infinite series which involve the reciprocals of binomial coefficients. Many binomial identities as well as some polynomial identities are proved.

- Weiping Wang, Tianming Wang
- Discrete Mathematics
- 2008

In this paper, we generalize the concept of Riordan array. A generalized Riordan array with respect to c n is an infinite, lower triangular array determined by the pair (g(t), f (t)) and has the generic element d n,k = [t n /c n ]g(t)(f (t)) k /c k , where c n is a fixed sequence of non-zero constants with c 0 = 1. We demonstrate that the generalized… (More)

In this paper, the authors establish some identities involving inverses of binomial coefficients and generalize an identity.

- Fengzhen Zhao, Tianming Wang
- 1999

The generalized Fibonacci and Lucas numbers are defined by a n-B n ^ ^ z f-> K = ""+fi n (i) where a = P+ ^ P 2 ~ 4q , (3 = P ~^ P 2 ~ 4q , p > 0, q^O, and p 2-4q > 0. It is obvious that {£/ " } and {VJ are the usual Fibonacci and Lucas sequences {FJ and {LJ when p =-q = l. Recently, for the Fibonacci numbers, Zhang established the following identities in… (More)

- Weiping Wang, Tianming Wang
- Discrete Mathematics
- 2009

In this paper, we study exponential partial Bell polynomials and Sheffer sequences. Two new characterizations of Sheffer sequences are presented, which indicate the relations between Sheffer sequences and Riordan arrays. Several general identities involving Bell polynomials and Sheffer sequences are established, which reduce to some elegant identities for… (More)

- Xiqiang Zhao, Tianming Wang
- Discrete Mathematics
- 2003

- Weiping Wang, Tianming Wang
- Applied Mathematics and Computation
- 2008

- Na Liu, Tianming Wang
- BMC Bioinformatics
- 2006

BACKGROUND
Owing to the rapid expansion of RNA structure databases in recent years, efficient methods for structure comparison are in demand for function prediction and evolutionary analysis. Usually, the similarity of RNA secondary structures is evaluated based on tree models and dynamic programming algorithms. We present here a new method for the… (More)

- Qinglun Yan, Yidong Sun, Tianming Wang
- Ars Comb.
- 2009

- Feng-Zhen Zhao, Tianming Wang
- Ars Comb.
- 2004