The derivatives of cauchy's kernel and cauchy's estimate in clifford analysis
作者:
Kimirô Sano,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1989)
卷期:
Volume 11,
issue 3-4
页码: 203-213
ISSN:0278-1077
年代: 1989
DOI:10.1080/17476938908814339
出版商: Gordon and Breach Science Publishers
关键词: 30G35;26D10;30A10;46H05
数据来源: Taylor
摘要:
Some refinements of estimates for the coefficients of the Taylor series are studied in Clifford analysis. An explicit estimate for the partial derivatives of Cauchy's kernel is given. With this result Cauchy's estimate for the partial derivatives of a monogenic function is obtained. These are generalizations of those in complex analysis. Moreover a similar explicit estimate for the partial derivatives of a harmonic function is also obtained.
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