6. For positive integer n, prove the following (given that I(½) = √√): √π = (2n)! √T. 4nn! T(n + 1/2) - 1.3.5...(2n-1) 2n

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. For positive integer n, prove the following (given that Ã(½) = √^):
T(n + 1/2 ) 1.3.5... (2n-1) √√π = (2n)! √π.
=
ㅠ
2n
4nn!
Transcribed Image Text:6. For positive integer n, prove the following (given that Ã(½) = √^): T(n + 1/2 ) 1.3.5... (2n-1) √√π = (2n)! √π. = ㅠ 2n 4nn!
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