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A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc

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Author

Summary, in English

We compute Poisson kernels for integer weight parameter standard weighted biharmonic operators in the unit disc with Dirichlet boundary conditions. The computations performed extend the supply of explicit examples of such kernels and suggest similar formulas for these Poisson kernels to hold true in more generality. Computations have been carried out using the open source computer algebra package Maxima.

Publishing year

2008

Language

English

Pages

545-564

Publication/Series

Complex Variables and Elliptic Equations

Volume

53

Issue

6

Document type

Journal article

Publisher

Taylor & Francis

Topic

  • Mathematics

Keywords

  • Poisson kernel
  • Standard weighted biharmonic operator
  • Dirichlet problem

Status

Published

ISBN/ISSN/Other

  • ISSN: 1747-6933