Value distribution of potentials in three real variables
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- by Peter A. McCoy PDF
- Proc. Amer. Math. Soc. 37 (1973), 471-475 Request permission
Abstract:
The object of this paper is to study the value distribution of potentials in three real variables by means of the Bergman integral operator with methods drawn from the analytic theory of polynomials.References
- Stefan Bergman, Integral operators in the theory of linear partial differential equations, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 23, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0141880
- Morris Marden, Value distribution of harmonic polynomials in several real variables, Trans. Amer. Math. Soc. 159 (1971), 137–154. MR 279323, DOI 10.1090/S0002-9947-1971-0279323-1
- Peter A. McCoy, Value distribution of axisymmetric potentials, Amer. J. Math. 95 (1973), 419–428. MR 328108, DOI 10.2307/2373792
- E. T. Whittaker and G. N. Watson, A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions: with an account of the principal transcendental functions, Cambridge University Press, New York, 1962. Fourth edition. Reprinted. MR 0178117
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 471-475
- MSC: Primary 31B15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313525-8
- MathSciNet review: 0313525