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Thank you very much.
Your plots are helpful in understanding your function. I get the same errors, but was not able to get any of the plots. I agree that the failures in NIntegrate are probably because of the extreme behavior of your function. Would it be...
This might help. If we assume `z>0` then we get some simplification or at least a convenient rewriting in terms of lower level functions. Simplify[ FunctionExpand[HypergeometricU[1, 1, z*k], Assumptions -> {0 0}], ...
Simpler answerIn[1]:= f[s_] := HypergeometricU[1/2 + I*2*s, 1, I*14*s]; Plot[{Re[f[s]], Im[f[s]]}, {s, 4, 6}, PlotRange -> All, WorkingPrecision -> 50] Out[2]= ...PlotSnipped...Should have tried that first, but since you wrote you had...
Dear Wolfram Community! I have got the following problem, but the listlogplot method does not help me. I have got the following functions: f[s_]:=HypergeometricU[ 1/2+i*2*s , 1, i*14*s ]; This function's value is not good for s>4: Plot[ Re[ f[s] ],...