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1

The best way about this, using again the spherical harmonics, is this: Define a symbol for the complex conjugate, e.g. Ybar Simplify the expression for the spherical harmonic: Y[l_, m_, θ_, ϕ_] := SphericalHarmonicY[l, m, θ, ϕ] Define Ybar Ybar[l_, m_, θ_, ϕ_] := SphericalHarmonicY[l, m, θ, ϕ] /. I -> -I And that's it

7

I have had the same troubles. When Sum returns an expression containing Pochhammer, it's very often wrong. However, I never experienced this problem with FindSequenceFunction: Table[gg4[q, 1], {q, 2, 6}] (*{2/15, 2/315, 2/5005, 4/153153, 5/2909907}*) gg4k1[q_] = FullSimplify[FindSequenceFunction[Table[gg4[q, 1], {q, 2, 11}], q - 1]] (*(2^(5 - 4 q) ...

0

In your first line of your code the variable a is assigned the string ["/Users/pedrofonsecazuccolo...." and then trying to use the Part function that is a[[1,Range[1,19],2]] which indeed is a wrong part specification for the string. Probably you intended dados[[1,Range[1,19],2]], which would take a Part from the data retrieved by Import[a] and assigned to ...

2

You have make your own definitions to handle non-commutativity. The basic trick is to use op[x1, x2, x3, ...] to represent an operator product, and to define various rules for manipulating the op[x1, x2, x3, ...]. To solve your problem I find that the minimum set of rules is as follows (using an obvious notation): Clear[op]; op[u___, x_ + y_, v___] := ...

0

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

2

?? 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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