二项式函数在组合恒等式证明中的应用

Application of Binomial Coefficient as Generating Function in the Proof of Combinatorial Identities

一些恒等式在函数论、组合数学、解析数论等学科的研究领域中极为重要。以二项式作为生成函数,给出了几个组合恒等式证明。

Some identitiess are important in function theory, combinatorial mathematics, analytic theory of number and other regions. In this paper, some combinatorial identities are proved based on binomial generating function.