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Let F(n) = EdP|n®p(d). Show that if F(1) n = pi" ..P"n=p, then F(n) = II" 1 P" 1 and that if n > 1 factors as am m la:/2] m.

Let F(n) = EdP|n®p(d). Show that if F(1) n = pi" ..P"n=p, then F(n) = II" 1 P" 1 and that if n > 1 factors as am m la:/2] m.

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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Let F(n) = E d²\n®p(d). Show that if F(1) = 1 and that ifn > 1 factors as n = pi .Pm"n=p, then F(n) = II-1 P* la:/2]
Transcribed Image Text:Let F(n) = E d²\n®p(d). Show that if F(1) = 1 and that ifn > 1 factors as n = pi .Pm"n=p, then F(n) = II-1 P* la:/2]
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