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新型组合恒等式(一)
引用本文:耿济,黄循浩.新型组合恒等式(一)[J].大学数学,1995(3).
作者姓名:耿济  黄循浩
作者单位:海南大学
摘    要:新型组合恒等式是研讨别开生面的几类组合孪生恒等式组的问题.本要主要研讨互逆类的组合孪生恒等式组,该类可分为多项式型、二项式定理型、指数函数型以及三角函数(或双曲函数)型等四型,一批成双出现的新结果。与许多著名数列(Fibonacci数列、Bernoulli数、Euler数以及二项式定理系数数列等)有着密切关系.此外,本人还研讨了一类特殊行列式的性质及其应用。

关 键 词:组合恒等式,数列,行列式,幂级数

Combinatorial Identities of the New Type I
Geng Ji,Huang Xunhao.Combinatorial Identities of the New Type I[J].College Mathematics,1995(3).
Authors:Geng Ji  Huang Xunhao
Institution:Hainan University
Abstract:Combinatorial identitics of the new tin discuss the problems of several classes of combinatorial twin identity group.This article mainly discusses combinatorial twin identity group of the reciprocal class. The class can be divided into four forms-polynomial form, binomial theorem form, exponential function form and trigonometric function form, a lot of new results appearing in pair. This class is closely related to many famous number sequence (Number Sequence of Fibonacci, Number Sequence of Bemoulli Number Sequence of Euler and number sequence of binomial theorem coefficient).In addition, this artical discusses the nature and apply of a special determinant.
Keywords:combinatorial identity  number sequence  determinant  power series  
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