多项式数列的连续分解  

Continuous Fractions of Polynomial Sequences

作　　者：赵凤鸣[1] ZHAO Fengming(Department of Practical Mathematics and Economics,Sichuan Vocational and Technical College,Suining Sichuan 629000)

机构地区：[1]四川职业技术学院应用数学与经济系

出　　处：《四川职业技术学院学报》2019年第5期147-150,共4页Journal of Sichuan Vocational and Technical College

摘　　要：给出了在求形如a2a4……a2n/a1a3……a2n-1的商时可能会用到的方法,即将数列an分解为bnbn+1,具体研究了an为形如(rn+s)^4+t和rn^4+sn^2+t的4次多项式及an为二次多项式的这种分解.This paper provides a method to find the quotient of a2a4……a2n/a1a3……a2n-1,namely to decompose an into bn bn+1.The decomposition of the 4 order polynomial(rn+s)^4+t,rn^4+sn^2+t and the two polynomial are studied in detail.

关 键 词：数列 多项式数列 连续分解 

分 类 号：O122[理学—数学]