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How can one display the actual integral involved in special functions like this

MarcumQ[2, a, b]

in Mathematica?

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2 Answers 2

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?? MarcumQ

Then click on the >> to go to the reference page. Then open the Details panel to see:

$Q_m(a,b) = \int\limits_b^\infty x \left( {x \over a}\right)^{m-1} I_{m-1}(a x) Exp[- {1 \over 2} (a^2 + x^2)]\ dx$

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  • $\begingroup$ When I type in mathematica: ?? MarcumQ ; Mathematica shows: MarcumQ[m,a,b] gives Marcum's Q function Subscript[Q, m](a,b). MarcumQ[m,a,Subscript[b, 0],Subscript[b, 1]] gives Marcum's Q function Subscript[Q, m](a,Subscript[b, 0])-Subscript[Q, m](a,Subscript[b, 1]). >> $\endgroup$
    – kaka
    Commented Mar 26, 2015 at 1:53
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    $\begingroup$ I prefer pressing F1. $\endgroup$
    – xzczd
    Commented Mar 26, 2015 at 2:23
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To get your Integral(s), You can use Wolfram|Alpha, see Wolfram|Alpha Integration, see also How can I get all the results from a Wolfram | Alpha query?,

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You ca also use http://www.wolframalpha.com/

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