2- Which of the following statements is false ? a) O If f: C C is a function which is differentiable at z = i, then it is twice differentiable at z = i. b) If a polynomial has no roots in C, then it is constant. c) None d) O sin z| < 1 for every z E C. e) O If f: C C is an entire function such that f(z)| < 1, then f is constant.
2- Which of the following statements is false ? a) O If f: C C is a function which is differentiable at z = i, then it is twice differentiable at z = i. b) If a polynomial has no roots in C, then it is constant. c) None d) O sin z| < 1 for every z E C. e) O If f: C C is an entire function such that f(z)| < 1, then f is constant.
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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Question
![2- Which of the following statements is false ?
a) O If f: C-→ C is a function which is differentiable at z = i, then it
is twice differentiable at z = i.
b) O If a polynomial has no roots in C, then it is constant.
C)
None
d) O Įsin z| < 1 for every z E C.
e) O If f: C C is an entire function such that f(2)| < 1, then f is
constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3514072-a535-43ca-9236-e2c3e15ab97e%2F16962378-ed20-40fa-87ae-dc070e411cbf%2Fc4utijw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2- Which of the following statements is false ?
a) O If f: C-→ C is a function which is differentiable at z = i, then it
is twice differentiable at z = i.
b) O If a polynomial has no roots in C, then it is constant.
C)
None
d) O Įsin z| < 1 for every z E C.
e) O If f: C C is an entire function such that f(2)| < 1, then f is
constant.
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