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Boundary value problems for the inhomogeneous polyanalytic equation I
-
Heinrich Begehr
and
Ajay Kumar
Published/Copyright:
July 29, 2016
Abstract
The three basic boundary value problems in complex analysis are of Schwarz, of Dirichlet and of Neumann type. When higher order equations are investigated all kind of combinations of these boundary conditions are proper to determine solutions. However, not all of these conditions are leading to well-posed problems. Some are overdetermined so that solvability conditions have to be found. Some of these boundary value problems are treated here for the inhomogeneous polyanalytic equation.
Keywords: polyanalytic functions; inhomogeneous polyanalytic equation; Schwarz Dirichlet; half-Neumann; mixed boundary value problems; Cauchy-Riemann equation; Cauchy-Schwarz-Pompeiu and Cauchy-Pompeiu representation
Published Online: 2016-7-29
Published in Print: 2005-3-1
© 2016 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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Articles in the same Issue
- Masthead
- On the universality for L-functions attached to Maass forms
- On an Extension Problem for Contractive Block Hankel Operator Matrices
- Boundary value problems for the inhomogeneous polyanalytic equation I
- On a discrete variant of Bernstein’s polynomial inequality
- Strong Cesàro summability and statistical limit of fourier integrals
- An extension of the Piatetski-Shapiro prime number theorem
Articles in the same Issue
- Masthead
- On the universality for L-functions attached to Maass forms
- On an Extension Problem for Contractive Block Hankel Operator Matrices
- Boundary value problems for the inhomogeneous polyanalytic equation I
- On a discrete variant of Bernstein’s polynomial inequality
- Strong Cesàro summability and statistical limit of fourier integrals
- An extension of the Piatetski-Shapiro prime number theorem
