孪生组合恒等式(七)——双曲类型

Combinatorial Twin Identity(Ⅶ):Hyperbolic Type

将双曲函数展开式作为特殊的形式幂级数 ,通过形式幂级数运算获得双曲类型 4组孪生恒等式 ,其中 3组与Bernoulli数、Euler数有关 .

Taking the expansion of hyperbolic function as a special formal power series,through the hyperbolic operation of formal power series,the author obtains four groups of twin identity of hyperbolic type,among which three groups are related to Bernoulli's numbers or Euler's numbers.