Section 5.1 The Complex Exponential Function - Maple Application Center
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Section 5.1 The Complex Exponential Function

: Dr. John Mathews
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How should complex-valued functions such as exp(z);, log(z);, sin(z);, etc., be defined? Clearly, any responsible definition should satisfy the following criteria: i. The functions so defined must give the same values as the corresponding functions for real variables when the number z; is a real number. ii. As far as possible, the properties of these new functions must correspond with their real counterparts. For example, we would want exp(z[1]+z[2]) = exp(z[1])*exp(z[2]); to be valid regardless of whether z[1]; and z[2]; were real or complex.

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English



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