Suppose that g is holomorphic on C, and satisfies g(z)| ≤|z¹/2 for all z € C\ {0} (where 2/¹/2 is the usual positive real square root). Prove that g is constant. (Hint: consider the Taylor series expansion centred at 0.) 1120) (7.70) ³. as 20=0
Suppose that g is holomorphic on C, and satisfies g(z)| ≤|z¹/2 for all z € C\ {0} (where 2/¹/2 is the usual positive real square root). Prove that g is constant. (Hint: consider the Taylor series expansion centred at 0.) 1120) (7.70) ³. as 20=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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