## Hyperbolic functions of complex numbers

Programs for HP-41

### Hyperbolic functions of complex numbers

Can anyone tell me how to perform hyperbolic trig functions (SINH, COSH, TANH) on complex numbers? That is, the argument is complex, and the result is also complex. I don't believe the 41CX has that ability, but perhaps I'm wrong. Further, if not, has anyone made available a program for doing so? I'm in great need.

If the HP-41CX won't do the above, does anyone have helpful suggestions for an RPN calculator that will?

Thanks!
jeff110264
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Posts: 3
Joined: Wed Oct 05, 2011 12:53 am

### Re: Hyperbolic functions of complex numbers

I haven't done it myself, but Ángel Martin's 41Z module can do it, and maybe also his SandMath, Sandbox, and/or other such modules he has done. His 41Z module is one I'm looking forward to using. It's mainly for complex-number operations-- and it has tons-- about 70, including all the comparisons, stack operations (with all the indirects!), roots, hyperbolics, ZAVIEW (the "Z" meaning "complex"), geometry, etc.! The Advantage module has complex-number operations, but it's pretty clumsy compared to the 41Z. The 41Z gives another keyboard, an additional user keyboard if I understand it correctly, in order to make it quicker to reach all the complex-number functions, and another shift key, the old Σ+ key which almost no one uses except by re-assigning it. It gives a true 4-level complex stack, plus a complex LastX, if I understand it correctly. The Advantage module only used the native stack, limiting you to two levels when it does complex numbers. Ángel is a genius in math and HP-41 assembly-language programming. And between the new software modules and the MLDL-2000, Clonix41, NoVRAM, 41CL, and other such pieces of hardware being introduced, the future for the 41 looks really good! I can't give you any more details (I need to get them myself, for my own use) but hopefully this will get your search going.

Clonix41, NoVRAM, NoV-32, NoV-64: http://www.clonix41.org/
MLDL2000: http://www.kuiprs.nl/hp41.htm
41CL (much faster hardware implant in your 41!): http://systemyde.com/pdf/sy41cl_v3.pdf
Garth
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Posts: 169
Joined: Tue Jan 20, 2009 1:31 am

### Re: Hyperbolic functions of complex numbers

jeff110264 wrote:If the HP-41CX won't do the above, does anyone have helpful suggestions for an RPN calculator that will?

Hello,
Hp41 won't do it natively, but Hp48/49/50 series can do that without any module or programmation.
Best regards
Theo

Theo148
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Posts: 9
Joined: Tue Nov 13, 2012 9:05 am