JournalszaaVol. 20, No. 2pp. 505–512

The Generalized Riemann Problem of Linear Conjugation for Polyanalytic Functions of Order nn in Wn,p(D)W_{n,p}(D)

  • Ali Seif Mshimba

    University of Dar es Salaam, Tanzania
The Generalized Riemann Problem of Linear Conjugation for Polyanalytic Functions of Order $n$ in $W_{n,p}(D)$ cover
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Abstract

We consider a homogeneous polyanalytic differential equation of order nn in a simply-connected domain DD with a smooth boundary D\partial D in the complex plane C\mathbb C. We pose and then prove solvability of a generalized Riemann problem of linear conjugation to the differential equation. This is done by reducing the problem into nn classical Riemann problems of linear conjugation for holomorphic functions, the solution of which is available in the literature.

Cite this article

Ali Seif Mshimba, The Generalized Riemann Problem of Linear Conjugation for Polyanalytic Functions of Order nn in Wn,p(D)W_{n,p}(D). Z. Anal. Anwend. 20 (2001), no. 2, pp. 505–512

DOI 10.4171/ZAA/1027