Is it possible for a complex function to have a branch cut along the real axis and also the imaginary axis, that cross over like a + sign?
2026-03-25 19:02:57.1774465377
Can a function have a branch cut along the real and also imaginary axis?
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Sure, why not? Try $f_1(z) + f_2(z) + f_3(z) + f_4(z)$ where $f_1$, $f_2$, $f_3$, $f_4$ have branch cuts on the positive real, positive imaginary, negative real and negative imaginary axes respectively.