TY - JOUR
T1 - Some Integral Representation for Meta-Monogenic Function in Clifford Algebras Depending on Parameters
AU - Balderrama, Cristina
AU - Di Teodoro, Antonio
AU - Infante, Adrian
N1 - Funding Information:
∗Corresponding author This work was completed with the support of Universidad Central de Venezuela and Uni-versidad Simón Bolívar.
PY - 2013/12
Y1 - 2013/12
N2 - 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.
AB - 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.
KW - Clifford type algebras
KW - Meta-monogenic function
KW - fundamental solutions
KW - high order Cauchy-Pompeiu integral formula
UR - http://www.scopus.com/inward/record.url?scp=84887298505&partnerID=8YFLogxK
U2 - 10.1007/s00006-013-0408-2
DO - 10.1007/s00006-013-0408-2
M3 - Artículo
AN - SCOPUS:84887298505
SN - 0188-7009
VL - 23
SP - 793
EP - 813
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 4
ER -