推广的Euler多项式与Bernoulli多项式的性质  

Some properties on the generalized Euler and Bernoulli polynomials

作　　者：杨金花[1] 刘大彬[2] 

机构地区：[1]周口师范学院数学系,河南周口466001 [2]周口职业技术学院信息科学系,河南周口466001

出　　处：《周口师范学院学报》2007年第5期24-30,共7页Journal of Zhoukou Normal University

摘　　要：以发生函数和微积分为工具,讨论了推广的Euler与Bernoulli函数在有理点处的取值问题,以及推广的Euler多项式与Bernoulli多项式所满足的漂亮恒等式.In this paper, by means of the knowledge of generating function and calculous technique, we discuss the values of rational points of the generalized Euler and Bernoulli polynomials, and obtain some identities involving generalized Euler and Bernoulli polynomials.

关 键 词：高阶BERNOULLI多项式 高阶EULER多项式 Nrlund BERNOULLI多项式 Nrlund EULER多项式 

分 类 号：O157.1[理学—数学]