Some Integral Representation for Meta-Monogenic Function in Clifford Algebras Depending on Parameters

Abstract:

In recent years, the integral representation problems have been studied in many context and generalities. For example, for the monogenic and meta functions in some Clifford type algebras, see [10, 11].In this paper we construct a Cauchy-Pompeiu type formula for meta-monogenic operator of order n, (D-λ)n, λ ∈ ℝ, and its conjugate (D̄-λ)n in a Clifford algebra depending on parameters An(2, αj, γij). Using these explicit representation formula of Cauchy-Pompeiu type we will show some applications. © 2013 Springer Basel.

Año de publicación:

2013

Keywords:

• Fundamental solutions
• high order Cauchy-Pompeiu integral formula
• Clifford type algebras
• Meta-monogenic function

Fuente:

scopus