Taylor series of biharmonic Poisson integral for upper half-plane

DOI10.1007/s10958-022-06195-yOpenAlexW4311040697MaRDI QIDQ2683647

Arsen M. Shutovskyi, Vasyl Ye. Sakhnyuk

Publication date: 14 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06195-y

zbMATH Keywords

Taylor seriesintegral kernelbiharmonic Poisson integral

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Some applied aspects of the Dirac delta function

Cites Work

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• Conditions of convergence almost everywhere for the convolution of a function with delta-shaped kernel to this function
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• On a quasilinear Poisson equation in the plane
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• On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals
• A NEW BIHARMONIC KERNEL FOR THE UPPER HALF PLANE
• Approximation of functions from the class ${\ifmmode\expandafter\hat\else\expandafter\^\fi{C}}^\psi_{\beta,\infty}$ by Poisson biharmonic operators in the uniform metric
• Tangential limit values of a biharmonic poisson integral in a disk
• Semi-linear equations and quasiconformal mappings
• Asymptotics of approximation of functions by conjugate Poisson integrals

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