Boundary value problems for bi-polyanalytic functions

DOI10.1080/00036810600835110zbMath1105.30032OpenAlexW2025822862MaRDI QIDQ3423611

Ajay Kumar, Heinrich Begehr

Publication date: 14 February 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810600835110

zbMATH Keywords

Poisson kernelSchwarz kernelboundary value problems for analytic functionsbi-polyanalytic functionsCauchy--Pompeiu representationGreen and Neumann functionpolyanalytic and bi-polyanalytic functions

Mathematics Subject Classification ID

Related Items (9)

Integral Representations Related to Complex Partial Differential Operators ⋮ Boundary value problems in weighted spaces of polyanalytic functions in half-plane ⋮ Continuation of polyanalytic functions ⋮ Riemann boundary value problems on half space in Clifford analysis ⋮ Heinrich Begehr: Citation for his 70th birthday ⋮ Iterated boundary value problems for the inhomogeneous polyanalytic equation ⋮ Boundary value problems for the inhomogeneous polyanalytic equation II ⋮ Boundary value problems in upper half plane ⋮ Bi-polyanalytic functions on the upper half plane

Cites Work

• Unnamed Item
• A hierarchy of integral operators
• Orthogonal decompositions of the function space L2( ;ℂ)
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• Iterated Neumann problem for the higher order Poisson equation

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