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...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Complex variables and elliptic equations Jg. 70; H. 2; S. 263 - 277
Hauptverfasser:	Gao, Long, Du, Xiaojing, Liang, Xiaotong, Xie, Yonghong
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Taylor & Francis 01.02.2025
Schlagworte:	Cauchy integral formula Cauchy integral theorem Cauchy-Pompeiu formula monogenic functions with α-weight p,q superspace
ISSN:	1747-6933, 1747-6941
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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