A bound for entire harmonic functions of three variables
Author:
Chi Yeung Lo
Journal:
Quart. Appl. Math. 26 (1968), 451-455
MSC:
Primary 31.11
DOI:
https://doi.org/10.1090/qam/239106
MathSciNet review:
239106
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Additional Information
- Stefan Bergman, Some properties of a harmonic function of three variables given by its series development, Arch. Rational Mech. Anal. 8 (1961), 207–222. MR 136752, DOI https://doi.org/10.1007/BF00277438
- Stefan Bergman, Sur les singularités des fonctions harmoniques de trois variables, C. R. Acad. Sci. Paris 254 (1962), 3304–3305 (French). MR 159011
- P. Dienes, The Taylor series: an introduction to the theory of functions of a complex variable, Dover Publications, Inc., New York, 1957. MR 0089895
- B. A. Fuks, Theory of analytic functions of several complex variables, American Mathematical Society, Providence, R.I., 1963. Translated by A. A. Brown, J. M. Danskin and E. Hewitt. MR 0168793
- R. P. Gilbert, Singularities of three-dimensional harmonic functions, Pacific J. Math. 10 (1960), 1243–1255. MR 120477
- R. P. Gilbert, Some inequalities for generalized axially symmetric potentials with entire and meromorphic associates, Duke Math. J. 32 (1965), 239–245. MR 182794
S. Bergman, Some properties of a harmonic function of three variables given by its series development, Arch. Rational Mech. Anal. 8, 207–222 (1961)
S. Bergman, Sur les singularités des fonctions harmoniques de trois variables, Comptes rendus des seances de l’Academie des Sciences 254, 3482–3483 (1962)
P. Dienes, The Taylor series, Dover, New York, 1957
B. A. Fuks, Introduction to the theory of analytic functions of several complex variables, Transl. Math. Monographs, Vol. 8, Amer. Math. Soc., Providence, R. I., 1963
R. P. Gilbert, Singularities of three dimensional harmonic functions, Pacific J. Math 10, 1243–1255 (1961)
R. P. Gilbert, Some inequalities for generalized axially symmetric potentials with entire and meromorphic associates, Duke Math. J. 32, 239–245 (1965)
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Article copyright:
© Copyright 1968
American Mathematical Society
