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a system of curvilinear coordinates is usually expressed by an admissible transformation represented by a set ofreal scalarfunctions [itex]x_i=x_i(u_1,\ldots,u_n)[/itex].

Does it make sense to form a system of curvilinear coordinates where the [itex]x_i[/tex] and [itex]u_i[/tex] functions arecomplexvalued?

If that exists, I cannot find any source in the net.

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# Complex curvilinear coordinates(?)

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