The Cauchy integral formula for (p, q)-monogenic functions with α-weight in superspace

First, some properties for $ (p,q) $ ( p , q ) -monogenic functions with α-weight in superspace are obtained. Then the Cauchy-Pompeiu formula in superspace is given. Finally, the Cauchy integral formula and the Cauchy integral theorem for $ (p,q) $ ( p , q ) -monogenic functions with α-weight in sup...

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Podrobná bibliografie
Vydáno v:	Complex variables and elliptic equations Ročník 70; číslo 2; s. 263 - 277
Hlavní autoři:	Gao, Long, Du, Xiaojing, Liang, Xiaotong, Xie, Yonghong
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Taylor & Francis 01.02.2025
Témata:	Cauchy integral formula Cauchy integral theorem Cauchy-Pompeiu formula monogenic functions with α-weight p,q superspace
ISSN:	1747-6933, 1747-6941
On-line přístup:	Získat plný text
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Popis
Shrnutí:	First, some properties for $ (p,q) $ ( p , q ) -monogenic functions with α-weight in superspace are obtained. Then the Cauchy-Pompeiu formula in superspace is given. Finally, the Cauchy integral formula and the Cauchy integral theorem for $ (p,q) $ ( p , q ) -monogenic functions with α-weight in superspace are proved.
ISSN:	1747-6933 1747-6941
DOI:	10.1080/17476933.2023.2298846