Timeline for Given the u or v of the analytic function f(z), find f(z)
Current License: CC BY-SA 4.0
3 events
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| Jul 2, 2023 at 17:16 | comment | added | user64494 |
FullSimplify[ ComplexExpand[ y/Sqrt[-x + Sqrt[x^2 + y^2]] + I*(-x + (x^2 + y^2)^(1/2))^(1/2) /. {x -> Abs[z]*Cos[Arg[z]], y -> Abs[z]*Sin[Arg[z]]}], Assumptions -> Abs[z] >= 0 && Arg[z] >= 0 && Arg[z] <= Pi] results in Sqrt[2] E^(1/2 I Arg[z]) (z^2)^(1/4) which is not OK.
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| Jul 2, 2023 at 17:09 | history | edited | user64494 | CC BY-SA 4.0 |
added 1 character in body
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| Jul 2, 2023 at 17:04 | history | answered | user64494 | CC BY-SA 4.0 |