期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Some Properties of Weighted Biregular Function Sequences
摘要/Abstract
正则函数是单复分析中解析函数在高维空间的推广,加权正则函数是正则函数的进一步发展.它在解决各项异性介质的热传导问题上发挥着重要作用.加权双正则函数又是加权正则函数的进一步发展,是Clifford分析中又一类新的函数类,具有一定的研究意义.利用加权双正则函数的Cauchy积分公式与非欧氏距离下的Hile引理,研究了加权双正则函数序列的一些重要性质,例如完备性、等度连续性、列紧性与内闭一致收敛性等.
Regular function is a generalization of analytic function in simple complex analysis in high dimensional space,and weighted regular function is a further development of regular function.It plays an important role in solving the heat conduction problem of anisotropic media.Weighted biregular function is a further development of weighted regular function,which is another new class of functions in Clifford analysis.Using the Cauchy integral formula of weighted biregular functions and the Hile lemma at non Euclidean distances,this paper researched some important properties of weighted biregular function sequences,such as completeness,equicontinuity,sequential compactness and internally closed uniform convergence etc.
关键词
参考文献 11
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