Using the recursive relation (19) and the fact that

Chapter 7, Problem 51E

(choose chapter or problem)

51. Using the recursive relation (19) and the fact that

$\Gamma(1 / 2)=\sqrt{\pi}$ determine

$\mathscr{L}\left\{t^{-1 / 2}\right\}$$\mathscr{L}\left\{t^{7 / 2}\right\}$

Equation transcription:

$\Gamma{}(1/2)=\sqrt{\pi{}},$

$ℒ\{{t}^{-1/2}\}$

$ℒ\{{t}^{7/2}\}$

Text transcription:

(1 / 2)=\sqrt{pi}

{L}{t^{-1 / 2}}

{L}{t^{7 / 2}}

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