Mixed Boundary Value Problems for Bi-Polyanalytic Functions on the Upper Half Plane

Explicit solutions to specific boundary value problems in the upper half plane are derived. Different types of boundary conditions are formulated for these equations. The approach involves higher-order Cauchy–Pompeiu representations, addressing boundary value problems for bi-polyanalytic functions and some higher order boundary value problems for model equations on the upper half plane.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-05-01
DOI
https://doi.org/10.1134/s1995080225605740
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Mixed Boundary Value Problems for Bi-Polyanalytic Functions on the Upper Half Plane

Lobachevskii Journal of Mathematics
Geochemistry and Geologic Mapping
article

Mixed Boundary Value Problems for Bi-Polyanalytic Functions on the Upper Half Plane

article en

Abstract

Explicit solutions to specific boundary value problems in the upper half plane are derived. Different types of boundary conditions are formulated for these equations. The approach involves higher-order Cauchy–Pompeiu representations, addressing boundary value problems for bi-polyanalytic functions and some higher order boundary value problems for model equations on the upper half plane.

Lobachevskii Journal of MathematicsVol. 46(5)
Izmir University (TR), Bakırçay Üniversitesi
Climate action
Openalex Percentile: Top 38%
Geochemistry and Geologic Mapping
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Mixed Boundary Value Problems for Bi-Polyanalytic Functions on the Upper Half Plane · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS