| 释义 |
complex exponential The exponential series converges for all complex numbers to define a holomorphic function exp. The derivative of exp is exp, and the identity exp(z + w) = expz×expw is still valid. Euler's identity expz = cosz + isinz is true for all z∈ℂ, though it need not be the case that cosz and sinz are the real and imaginary parts of expz. The range of exp is ℂ\\{0}, and exp is periodic with period 2πi. Compare complex logarithm.
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