Hadamard's three-circle theorem(redirected from Hadamard three-circle theorem)
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Hadamard's three-circle theorem[′had·ə‚märdz ¦thrē ¦sər·kəl ′thir·əm]
The theorem that if the complex function ƒ(z) is analytic in the ring a < |="">z |<>b, and if m (r) denotes the maximum value of |ƒ(z)| on the circle | z | = r with a <>r <>b, then log m (r) is a convex function of log r.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.