Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis

This article studies the Poincaré-Bertrand transformation formula of Cauchy-type singular integrals of double multi-variables Clifford functions. First, it discusses some properties for several singular integrals about Clifford functions, and then proves the existence, for Cauchy principal value, of...

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Vydáno v:Complex variables and elliptic equations Ročník 57; číslo 2-4; s. 197 - 217
Hlavní autoři: Qiao, Yuying, Xu, Yongzhi, Yang, Heju
Médium: Journal Article
Jazyk:angličtina
Vydáno: Colchester Taylor & Francis Group 01.02.2012
Taylor & Francis Ltd
Témata:
Cauchy principal value
Cauchy type singular integral with a parameter
Clifford analysis
Complex variables
Integrals
Mathematical analysis
transformation formula
Transformations
ISSN:1747-6933, 1747-6941
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Shrnutí:This article studies the Poincaré-Bertrand transformation formula of Cauchy-type singular integrals of double multi-variables Clifford functions. First, it discusses some properties for several singular integrals about Clifford functions, and then proves the existence, for Cauchy principal value, of some Cauchy-type singular integrals with a parameter. Finally, it confirms the Poincaré-Bertrand transformation formula.
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ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2011.593098