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Complex Variables and Elliptic Equations
An International Journal
Volume 54, 2009 - Issue 5
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Original Articles

Boundary value problems in upper half plane

Arun Chaudhary Department of Mathematics, University of Delhi, Delhi 110 007, India
&
Ajay Kumar Department of Mathematics, University of Delhi, Delhi 110 007, IndiaCorrespondence[email protected]
Pages 441-448 | Received 24 Dec 2007, Accepted 02 Apr 2008, Published online: 08 May 2009
 
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Abstract

Explicit representations for the solution of higher order equations are obtained for Dirichlet boundary conditions and Schwarz boundary conditions in the upper half plane. We also investigate a mixed boundary value problem for the inhomogeneous polyanalytic equation.

AMS Subject Classifications::

Acknowledgement

The first author expresses gratitude to Ravi Prakash for some useful discussions.

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