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[parent] complex exponential function (Definition)
PrimePeriod2

"complex exponential function" is owned by pahio.
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See Also: exponential function defined as limit of powers, exponential function, complex sine and cosine, proof of equivalence of formulas for exp, derivative of exponential function, convergence of Riemann zeta series

Also defines:  exponential function, prime period

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Attachments:
complex logarithm (Definition) by pahio
periodicity of exponential function (Theorem) by pahio
proof of addition formula of exp (Proof) by pahio
exponential function never vanishes (Theorem) by pahio
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Cross-references: initial condition, differential equation, solution, similar, termwise differentiation, series, derivative, holomorphic, modulus, complex, function, addition formula, consequences, properties, real, Euler number, power, equivalent
There are 37 references to this entry.

This is version 18 of complex exponential function, born on 2004-10-10, modified 2009-09-28.
Object id is 6341, canonical name is ComplexExponentialFunction.
Accessed 33890 times total.

Classification:
AMS MSC30D20 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Entire functions, general theory)
 32A05 (Several complex variables and analytic spaces :: Holomorphic functions of several complex variables :: Power series, series of functions)

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