Exponential function: Difference between revisions

Revision as of 21:34, 6 July 2002

Revision as of 17:27, 14 September 2002

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where ''a'' and ''b'' are real values. This formula

connects the exponential function with the [[trigeometrictrigonometric function]]s, and this is the reason that extending the natural logarithm to complex arguments naturally yields a multi-valued function ln(''z''). We can define a more general exponentiation:

:''z''^''w'' = exp(ln(''z'') ''w'')