Recall that the gamma function is defined by the integral T(a) = ta-le ta-le-t dt, a > 0, and, r(a +1) L{t®} a > -1. (1) %3D sa+1 Use the result of Eq. (1) to find f(t) = t'/2.
Recall that the gamma function is defined by the integral T(a) = ta-le ta-le-t dt, a > 0, and, r(a +1) L{t®} a > -1. (1) %3D sa+1 Use the result of Eq. (1) to find f(t) = t'/2.
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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Transcribed Image Text:Recall that the gamma function is defined by the integral
T(a) = ta-le
dt,
a > 0,
0/
and,
Г(а+1)
L{t®}
a > -1.
(1)
sa+1
Use the result of Eq. (1) to find f(t) = t'/2.
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