Book Review: The location of critical points of analytic and harmonic functions

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Note on the Location of the Critical Points of Harmonic Functions.

THEOREM 1. Let the region R of the extended (x, y)-plane be bounded by a finite number of mutually disjoint Jordan curves Co, G., C2, • • • , Cn. Let the function u(x, y) be harmonic in R, continuous in the corresponding closed region, equal to zero on Co and to unity on G, C2, • • • , Cn. Denote by Ro the region bounded by Co containing the curves Ci, C2, • • • , Cn in its interior; define non...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1951

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1951-09490-2