question: How to get Mathematica to show more than one value of a complex valued function?
- To: mathgroup at smc.vnet.net
- Subject: [mg46286] question: How to get Mathematica to show more than one value of a complex valued function?
- From: nma124 at hotmail.com (steve_H)
- Date: Fri, 13 Feb 2004 21:56:50 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
hello; this is Mathematica 5.0 given a multi-valued complex function, how can I get Mathematica to show more than one value? or to show the general formula for all solutions? for example, (-i)^i is multivalued. The result returned by Mathematica is Exp[Pi/2], which is the first possible value. But there are infinitly many others (if my math is correct), such as Exp[-3/2 Pi], Exp[5/2 Pi] etc... where the general function value is Exp[Pi/2 +- 2 n Pi] n=0,1,2,3,.... Same as for Log[z] where z is a complex number, which is multi-valued. or can I at least tell Mathematica to tell me if the result returned is the ONLY one possible, (i.e. the complex function is NOT multi-valued)? becuase right now it is not clear from the result if result returned is the only value or if there are others. thanks, Steve
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