Concerning the definition of harmonic functions

Beckenbach, E. F.

doi:10.1090/S0002-9904-1945-08318-9

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Concerning the definition of harmonic functions
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by E. F. Beckenbach PDF

Bull. Amer. Math. Soc. 51 (1945), 240-245

References

Philip T. Maker, Conditions on $u(x,y)$ and $v(x,y)$ necessary and sufficient for the regularity of $u+iv$, Trans. Amer. Math. Soc. 45 (1939), no. 2, 265–275. MR 1501991, DOI 10.1090/S0002-9947-1939-1501991-6
J. Ridder, Harmonische, subharmonische und analytische Funktionen, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 9 (1940), 277–287 (German). MR 5259

Additional Information

Journal: Bull. Amer. Math. Soc. 51 (1945), 240-245
DOI: https://doi.org/10.1090/S0002-9904-1945-08318-9
MathSciNet review: 0011870