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双曲复变函数与双曲准正则函数
引用本文:闻国椿 罗兆富. 双曲复变函数与双曲准正则函数[J]. 宁夏大学学报(自然科学版), 1998, 19(1): 12-18
作者姓名:闻国椿 罗兆富
作者单位:北京大学数学系(闻国椿),云南财贸学院数学系(罗兆富)
摘    要:首先介绍了双曲数,双曲复变函数及双曲伪正则函数.然后讨论了某些一阶和二阶双曲复方程的解的存在性定理.

关 键 词:双曲复变函数,双曲伪正则函数,狄利克雷问题

HYPERBOLIC COMPLEX FUNCTIONS AND HYPERBOLIC PSEUDOREGULAR FUNCTIONS
Wen Guochun ) Luo Zhaofu ) ). HYPERBOLIC COMPLEX FUNCTIONS AND HYPERBOLIC PSEUDOREGULAR FUNCTIONS[J]. Journal of Ningxia University(Natural Science Edition), 1998, 19(1): 12-18
Authors:Wen Guochun ) Luo Zhaofu ) )
Affiliation:Wen Guochun 1) Luo Zhaofu 2) 1)Department of Mathematics,Peking University,100871,Beijing,China, 2)Department of Mathematics,Yunnan Institute of Finance and Trade,650000,Kunming,China
Abstract:This paper first introduces hyperbolic numbers, hyperbolic complex functions and hyperbolic pseudoregular functions.Afterwards discusses existence theorem of solutions for some hyperbolic complex equations of first order and second order.
Keywords:hyperbolic complex functions   hyperbolic pseudoregular functions   Dirichlet problem
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