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5 votes
Accepted

How to simplify expressions with complex exponents?

Alternative way (how we would do it by "hand") ...
Nasser's user avatar
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3 votes

How to simplify expressions with complex exponents?

Try this: expr /. -E^(-I k)*Sqrt[a_] -> -Sqrt[a*E^(-2 I k)] // ExpToTrig // Simplify (* -Sqrt[k1^2 + k2^2 + 2 k1 k2 Cos[k]] *) Have fun!
Alexei Boulbitch's user avatar
3 votes
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Numerical integration over Re[expr] still has $0 i$ in the result

Overview The problem arises in the compiled function created for some sort of singularity processing that NIntegrate[] decided was necessary. Is it a bug? Ask WRI....
Michael E2's user avatar
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2 votes

Solve an equation involving Exp over the complexes

NSolve does the job by NSolve[E^(4 - 2 x - 2 E^(2 - 2 x) x) x - x == 0 && Abs[x] <= 10, x, Complexes];Dimensions[%] ...
user64494's user avatar
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2 votes

How to plot a 3D-subspace of a $\mathbb{C}^2$ curve?

Using the method in Plotting implicitly-defined space curves ...
Michael E2's user avatar
  • 233k
1 vote

What is the status of ComplexAnalysis`BranchPoints and ComplexAnalysis`BranchCuts?

I think those commands leave much to be desired at the present. For example, ComplexAnalysis`BranchPoints[Sqrt[z^(9/2) - 1], z] ...
user64494's user avatar
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