Assume lim|C₁1/n <∞o. Show that if we set then f(2)= ΣCn(z-a)", n=0 Cn = f(n) (a) n!
Assume lim|C₁1/n <∞o. Show that if we set then f(2)= ΣCn(z-a)", n=0 Cn = f(n) (a) n!
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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Assume lim|cn|¹/n <∞o. Show that if we set
then
f(z) = ΣCn(z-a)",
n=0
Cn
f(n) (a)
n!
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F526a6d9d-32b7-4f2d-90af-ff9540132ca2%2F563d8825-fe60-48b7-8e77-83bd3d9bba3a%2Fh9hxbhh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
Assume lim|cn|¹/n <∞o. Show that if we set
then
f(z) = ΣCn(z-a)",
n=0
Cn
f(n) (a)
n!
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
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