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  Clifford analysis with higher order kernel over unbounded domains
 
 
Title: Clifford analysis with higher order kernel over unbounded domains
Author: Li, X.
Qiao, Y.
Xu, Y.
Appeared in: Complex variables and elliptic equations
Paging: Volume 53 (2008) nr. 6 pages 585-605
Year: 2008-06
Contents: In this article we study Clifford analysis with higher order kernel over unbounded domains. First we derive a higher order Cauchy-Pompeiu formula for the functions with rth order continuous differentiability over an unbounded domain whose complementary set contains non-empty open set. Then we obtain higher order Cauchy integral formula for k-regular functions and prove Cauchy inequality. Based on the higher order Cauchy integral formula, we define higher order Cauchy-type integrals and discuss boundary behaviours of the higher order Cauchy-type integrals.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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