Schwarz-type boundary value problems for the polyanalytic equation in the half unit disc

DOI10.1080/17476933.2010.534151zbMath1254.30055OpenAlexW2045568795MaRDI QIDQ4648506

Yu-Feng Wang

Publication date: 9 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.534151

zbMATH Keywords

polyanalytic functionSchwarz-type problemSchwarz-type operatorT-type operatorupper unit disc

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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Cites Work

• Unnamed Item
• The Schwarz problem for polyanalytic functions
• A Dirichlet problem for polyharmonic functions
• Harmonic boundary value problems in half disc and half ring
• A hierarchy of integral operators
• Hilbert boundary value problems of polyanalytic functions on the unit circumference
• On modified Hilbert boundary-value problems of polyanalytic functions
• On Boundary Value Problems of Polyanalytic Functions on the Real Axis
• Mixed boundary value problems for the inhomogeneous polyanalytic equation
• Iterated Neumann problem for the higher order Poisson equation
• Boundary value problems for the inhomogeneous polyanalytic equation I

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