高阶Bernoulli多项式、高阶Euler多项式与Stirling数的关系  

On relationship of higher-degree Bernoulli polynomials and higher-degree Euler polynomials to Stirling numbers

作　　者：杨胜良[1] 马成业[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2009年第2期146-149,共4页Journal of Lanzhou University of Technology

摘　　要：用生成函数与组合分析的方法研究高阶Bernoulli多项式、高阶Euler多项式与Stirling数的关系,给出用Stirling数计算高阶Bernoulli多项式和高阶Euler多项式的公式.The relationship of higher-degree Bernoulli polynomials and higher-degree guler polynomials to Stifling numbers was investigated by using the methods of generating function and combinatorial analysis. The formulas for computanon of the higher-degree Bernoulli polynomials and higher-degree Euler polynomials with the Stirling numbers were given.

关 键 词：高阶BERNOULLI数 高阶BERNOULLI多项式 高阶EULER多项式 第一类STIRLING数 第二类STIRLING数 生 成函数 

分 类 号：O157.1[理学—数学]