\input zb-basic
\input zb-ioport
\iteman{io-port 05733032}
\itemau{Chen, Yijun}
\itemti{WZ method and the asymptotic estimates for a kind of combinatorial sum.}
\itemso{J. South China Norm. Univ., Nat. Sci. Ed. 2009, No. 1, 1-5 (2009).}
\itemab
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.
\itemrv{~}
\itemcc{}
\itemut{definite hypergeometric sum; indefinite hypergeometric sum; WZ method; asymptotic estimate}
\itemli{}
\end