Divided differences and generalized Taylor series

被引：10

作者：

Chu Wenchang ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

FORUM MATHEMATICUM | 2008年 / 20卷 / 06期

关键词：

D O I：

10.1515/FORUM.2008.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By combining divided differences with symmetric function relations, we establish two expansion formulae which generalize the classical Taylor theorem and the Maclauren expansion formula. The two q-expansion formulae due to Carlitz ( 1973) and Liu ( 2002) are also contained as special cases.

引用

页码：1097 / 1108

页数：12

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