Iterated generalized dirac operators of mixed sides

In the development of the theories of generalized monogenic functions in Clifford analysis, there are natural appearances of the composition of the Dirac operators such as polymonogenic function, inframonogenic function, infrapolymonogenic functions, iterated \((\alpha ,\beta )\) $(\alpha ,\beta )$ -Dirac operators, \((\varphi ,\psi )\) $(\phi ,\psi )$ -harmonic functions, \((\varphi ,\psi )\) $(\phi ,\psi )$ -inframonogenic functions, iterated generalized Dirac operators associated to different structural sets. In this paper, we introduce a class of iterated generalized Dirac operators of mixed sides which is a generalization of those theories. By using the endomorphisms on Clifford algebras, we construct the Borel–Pompeiu formula respect to these operators.