A Linear Matching Problem for a Generalized Cauchy–Riemann Equation with Super-Singular Points on a Half-Plane

Dorofeeva, Irina N.; Rasulov, A. B.

doi:10.1134/s0965542522110069

Comput. Math. and Math. Phys.

2022

DOI: 10.1134/s0965542522110069

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A Linear Matching Problem for a Generalized Cauchy–Riemann Equation with Super-Singular Points on a Half-Plane

Irina N. Dorofeeva

A. B. Rasulov

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2024

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Cited by 1 publication

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The inhomogeneous complex partial differential equations for bi-polyanalytic functions

Cui,

Wang

2024

MATH

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<abstract><p>In this paper, we study a Riemann-Hilbert problem related to inhomogeneous complex partial differential operators of higher order on the unit disk. Applying the Cauchy-Pompeiu formula, we find out the solvable conditions and obtain the representation of the solutions. Then, we investigate the boundary value problems for bi-polyanalytic functions with the Dirichlet and Riemann-Hilbert boundary conditions, obtain the specific solution and the solvable conditions, and extend the conclusion to the corresponding higher-order problems. Therefore, we obtain the solution to the half-Neumann problem of higher order for bi-polyanalytic functions.</p></abstract>

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The inhomogeneous complex partial differential equations for bi-polyanalytic functions

Cui,

Wang

2024

MATH

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A Linear Matching Problem for a Generalized Cauchy–Riemann Equation with Super-Singular Points on a Half-Plane

Cited by 1 publication

References 6 publications

The inhomogeneous complex partial differential equations for bi-polyanalytic functions

The inhomogeneous complex partial differential equations for bi-polyanalytic functions

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