HP Prime: Dirichlet's eta function recognized but not numerically evaluated



#2

I know that the Prime's help screen says that zeta(a) should only be evaluated for real a, but I couldn't help trying out some complex values, like zeta(1-i), which returns the expression in terms of the Dirichlet eta function

eta(1-i)/(1-2^i),
which is great, (recognizing this relationship), but the eta function apparently cannot be approximated numerically (or can it?), and does not show up in the catalog. Any insights? Thanks.

P.S. Other complex arguments can be approximated by zeta(), e.g., zeta(0.5-i).


Possibly Related Threads...
Thread Author Replies Views Last Post
  HP50g: Writing a function that returns a function Chris de Castro 2 206 12-10-2013, 06:49 PM
Last Post: Han
  IFERR function on HP Prime Mic 2 187 12-02-2013, 01:33 AM
Last Post: cyrille de Brébisson
  Possible bug with sqrt function in the HP prime Michael de Estrada 6 257 11-15-2013, 12:49 PM
Last Post: Michael de Estrada
  HP-41 MCODE: The Last Function - at last! Ángel Martin 0 116 11-08-2013, 05:11 AM
Last Post: Ángel Martin
  [Prime] any ideas for a undo function? Stefan Dröge (Germany) 8 326 11-04-2013, 04:37 PM
Last Post: Damien
  HP Prime 'where' function bluesun08 11 444 10-29-2013, 06:56 PM
Last Post: Joe Horn
  HP Prime - Defining a function bluesun08 5 244 10-23-2013, 02:43 PM
Last Post: Han
  HP PRIME Function parameters steindid 2 144 10-11-2013, 10:20 AM
Last Post: steindid
  Hp prime list function - indexing into a list Andy B (Australia) 3 183 10-07-2013, 01:41 AM
Last Post: cyrille de Brébisson
  HP Prime can't find how to use partfrac function ! dg1969 3 193 10-04-2013, 09:25 PM
Last Post: Joe Horn

Forum Jump: