研究了第一类Chebyshev多项式与著名的Euler数之间的关系.利用初等方法给出了一个恒等式.由此揭示了它们之间存在的密切联系.
The main purpose is to study the relationship between the first kind Chebyshev polynomials and the famous Euler numbers. By using the elementary method, an interesting identity involving them is obtained. The identity indicates that there exists close relationship between them.