正切函数的幂级数表示与Genocchi数的恒等式  

Power series expression of tangent and some identities of Genocchi numbers

作　　者：赵璐[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2014年第1期69-71,107,共4页Basic Sciences Journal of Textile Universities

摘　　要：利用初等方法研究了正切函数的幂级数表示与Genocchi数及高阶Genocchi数的一些性质.通过正切函数的幂级数展开以及比较系数的方法,揭示了其系数与Genocchi数及高阶Genocchi数的关系,并由此得到了关于Genocchi数的几个有趣的同余式.The power series expression of tangent and the properties of Genocchi numbers were studied in elementary method .The relation between the coefficient of power series and the Genocchi numbers was established by comparing the coefficient ,some identities and congruence expressions of Genocchi num-bers were obtained .

关 键 词：正切函数 GENOCCHI数 恒等式 

分 类 号：O156.4[理学—数学]