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Boundary value problems for modified Dirac operators in Clifford analysis
Boundary Value Problems
In this paper, we discuss two kinds of Riemann type boundary value problems for the operator D λ , where λ is a complex number. Furthermore, we establish the Almansi type expansion for the operator D k λ , where k ∈ N. As applications of the expansion, we investigate the Riemann type boundary value problem and the generalized Riquier problem for the operator D k λ . MSC: 30G35; 45J05doi:10.1186/s13661-015-0426-1 fatcat:fsciry4zvnahjdmmrt7k3mycy4