Harmonic numbers on the HP 50g

06022014, 03:11 PM
Post: #1




Harmonic numbers on the HP 50g
I recently discovered that the HP 50g function Psi (in MTH NXT SPECIAL) delivers the nth harmonic number:
Hn = Psi(n + 1) – Psi(1) [and that, by the way, –Psi(1) = 0.577215664902, the Euler constant]. This observation, together with the numerical SOLVE command, allows quick disposal of (say) the problem of finding the smallest integer k for which Hk > 7.6, and it might more generally be useful in mathematics teaching. 

06022014, 10:07 PM
Post: #2




RE: Harmonic numbers on the HP 50g
I implemented the digamma function for the 34S but it didn't make it in
But where to stop including useful functions....  Pauli 

06032014, 05:41 AM
(This post was last modified: 06032014 05:48 AM by Ángel Martin.)
Post: #3




RE: Harmonic numbers on the HP 50g
(06022014 10:07 PM)Paul Dale Wrote: I implemented the digamma function for the 34S but it didn't make it in Digamma (Psi) is also useful to obtain the inverse Gamma using Newton's method, there was a thread in the old forum about that but can't find it now. edit: here's the link The SandMath has both the harmonic number and Psi functions  the accuracy limited to 10 digits of course. Cheers, 'AM 

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