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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
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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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
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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