In this talk we present Borel-Pompeiu and Plemelj-Sokhotzki integral formulas
on Clifford type associative algebras depending on parameters
generated by the structure relations:
$$
e_ie_j+e_je_i = -2 B_{ij},
$$
for $i,j=1,2,\cdots,n$, where the $B_{ij} $ are the entries of a
symmetric and positive definite matrix $B \in \mathbb{R}^{n \times n}$. In particular, if $B$ is the identity matrix, then the above structure relations correspond for those in classic Clifford algebra.
From these integral formulas, standard integral operators are defined, whose properties allow us to solve boundary values problems associated to the differential operators defined in this parametric algebra.