|ƒ (2)| ≤ A (1 + |2|)", n a fixed real number for all z in that strip, show that for each integer n 20 there exists An 20 so that | f(n) (x)| ≤ An(1+x)", [Hint: Use the Cauchy inequalities.] for all x E R.
|ƒ (2)| ≤ A (1 + |2|)", n a fixed real number for all z in that strip, show that for each integer n 20 there exists An 20 so that | f(n) (x)| ≤ An(1+x)", [Hint: Use the Cauchy inequalities.] for all x E R.
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
![2πί J|ζ|=n
5²
8. If f is a holomorphic function on the strip -1 < y < 1, x = R with
|S (2)| ≤ A (1 + |2|)",
n a fixed real number
for all z in that strip, show that for each integer n 20 there exists An 20 so that
|f(n) (x)| ≤ An(1+x)",
[Hint: Use the Cauchy inequalities.]
for all x E R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F904caeb1-cd31-4dcf-9af8-09f5b2d51865%2F17499fc3-dabd-4bdf-acaa-b7465e447a4a%2Fn2mg1g4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2πί J|ζ|=n
5²
8. If f is a holomorphic function on the strip -1 < y < 1, x = R with
|S (2)| ≤ A (1 + |2|)",
n a fixed real number
for all z in that strip, show that for each integer n 20 there exists An 20 so that
|f(n) (x)| ≤ An(1+x)",
[Hint: Use the Cauchy inequalities.]
for all x E R.
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