Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane

DOI10.1007/s10958-021-05315-4zbMath1462.30003OpenAlexW3131137767MaRDI QIDQ2662912

Olga D. Trofymenko

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05315-4

zbMATH Keywords

polynomial solutionslinear elliptic equations in the complex plane

Mathematics Subject Classification ID

General properties of functions of one complex variable (30A99) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (1)

Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$

Cites Work

• Unnamed Item
• Convolution equations and mean-value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
• Mean values and classes of harmonic functions
• A mean value theorem for polynomials and harmonic polynomials

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