Solutions of Boundary-Value Problems for the Helmholtz Equation in Simply Connected Domains of the Complex Plane
Journal Article
·
· Journal of Mathematical Sciences
- “L’vivs’ka Politekhnika” National University (Ukraine)
The bases in the spaces of functions analytic in simply connected domains are constructed with the help of conformal mappings of these domains onto a circle. The obtained basis functions are biorthogonal to the Faber polynomials. By using the expansions of analytic functions in series in systems of basis functions, we determine the solutions of boundary-value problems for the Helmholtz equation whose boundary values coincide with the boundary values of these functions.
- OSTI ID:
- 22771729
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 1 Vol. 228; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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