Cross sectional Cauchy–Pompeiu formula for functions with values in C ( V 2,0 )
Abstract
In this paper, by constructing a new type of Cauchy kernel function and Clifford valued 1-differential form, we give a new type of Cauchy integral formula which is called the cross sectional Cauchy integral formula, some mean value theorems and the maximum modulus theorem. We also give a new type of Cauchy–Pompeiu formula which is called the cross sectional Cauchy–Pompeiu formula.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Analytic and geometric function theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Pages
- 1–16
- Publication date
- 15 February 2026
- Language
- EN