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I-0-te-t-J-1-2-t-dt-




Question Number 218025 by mnjuly1970 last updated on 26/Mar/25
     I=∫_0 ^( ∞) te^(−t) J_(−(1/2))  (t ) dt =?
$$ \\ $$$$\:\:\:\mathrm{I}=\int_{\mathrm{0}} ^{\:\infty} {te}^{−{t}} {J}_{−\frac{\mathrm{1}}{\mathrm{2}}} \:\left({t}\:\right)\:{dt}\:=? \\ $$$$ \\ $$

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