AN IMPROVEMENT OF THE OCTONIONIC TAYLOR TYPE THEOREM 被引量：3

AN IMPROVEMENT OF THE OCTONIONIC TAYLOR TYPE THEOREM

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摘要 We prove that the octonionic polynomials Vl 1k……lk. are independent of the associative orders k. This improves the oetonionic Taylor type theorem. We prove that the octonionic polynomials Vl 1k……lk. are independent of the associative orders k. This improves the oetonionic Taylor type theorem.

作者廖建全李兴民

机构地区 School of Mathematical Science School of Computer

出处《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期561-566,共6页 数学物理学报（B辑英文版）

基金 Supported by the Doctoral Station Grant of Chinese Education Committee (20050574002)

关键词 OCTONIONS associative order Taylor type theorem Octonions associative order Taylor type theorem

分类号 O156 [理学—基础数学]

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参考文献2

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二级参考文献9

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共引文献17

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同被引文献5

1LI XingMin,PENG LiZhong,QIAN Tao.The Paley-Wiener theorem in the non-commutative and non-associative octonions[J].Science China Mathematics,2009,52(1):129-141. 被引量：3
2李兴民,彭立中.TAYLOR SERIES AND ORTHOGONALITY OF THE OCTONION ANALYTIC FUNCTIONS[J].Acta Mathematica Scientia,2001,21(3):323-330. 被引量：12
3Lizhong Peng (1) , Lei Yang (1).THE CURL IN SEVEN DIMENSIONAL SPACE AND ITS APPLICATIONS[J].Analysis in Theory and Applications,1999,15(3):66-80. 被引量：12
4Jianquan Liao,Jinxun Wang,Xingmin Li.THE ALL-ASSOCIATIVITY OF OCTONIONS AND ITS APPLICATIONS[J].Analysis in Theory and Applications,2010,26(4):326-338. 被引量：2
5Li Xingmin,Peng Lizhong.ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION[J].Analysis in Theory and Applications,2000,16(2):28-36. 被引量：11

引证文献3

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3廖建全,曹俊飞.Fueter定理在八元数中的推广[J].广东第二师范学院学报,2019,39(5):53-60.

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Acta Mathematica Scientia

2011年第2期

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