id: 05733032
dt: j
an: 05733032
au: Chen, Yijun
ti: WZ method and the asymptotic estimates for a kind of combinatorial sum.
so: J. South China Norm. Univ., Nat. Sci. Ed. 2009, No. 1, 1-5 (2009).
py: 2009
pu: South China Normal University, Shipai, Guangzhou
la: ZH
cc: 
ut: definite hypergeometric sum; indefinite hypergeometric sum; WZ method;
    asymptotic estimate
ci: 
li: 
ab: Summary: By using the results from WZ theory, a new and relatively
    elementary proof is given for $\sum\limits^{rn}_{k=0}\pmatrix
    {pn}\\{k}\endpmatrix -\dfrac{p-r}{p-2r}\pmatrix {pn}\\{rn}\endpmatrix$
    as $n\rightarrow +\infty$ where $p$ and $r$ are generic parameters
    being positive integers.
rv: