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 Intresting functions not ? tommy1729 Ultimate Fellow Posts: 1,491 Threads: 355 Joined: Feb 2009 09/23/2013, 11:18 PM I was thinking about some " intresting " functions. Not sure how to define " intresting " though. For example : exp(a+bi) = a+bi f(z) = ln( (exp(z) - z) / (z^2 + 2az + a^2 + b^2) ) Where a and b are real and z is complex. It seems f(z) must be entire since exp(z) has only 2 fixpoints. Another example is f(z) = ln( (2sinh(z) - z) / z ) Forgive me for once again writing 2sinh(z) Im a 2sinholic We can get Taylor series for these kind of functions. But I wonder if these have been studied before ? They appear both "elementary and exotic " to me. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Intresting functions not ? - by tommy1729 - 09/23/2013, 11:18 PM RE: Intresting functions not ? - by tommy1729 - 09/24/2013, 10:44 PM RE: Intresting functions not ? - by razrushil - 03/04/2014, 02:33 PM RE: Intresting functions not ? - by Gottfried - 03/05/2014, 10:10 AM RE: Intresting functions not ? - by razrushil - 03/05/2014, 06:49 PM

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