Harmonic numbers on the HP 50g - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Calculators (and very old HP Computers) ( /forum-3.html)+--- Forum: General Forum ( /forum-4.html)+--- Thread: Harmonic numbers on the HP 50g ( /thread-1518.html) |

Harmonic numbers on the HP 50g - Peter Murphy - 06-02-2014 03:11 PM
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. RE: Harmonic numbers on the HP 50g - Paul Dale - 06-02-2014 10:07 PM
I implemented the digamma function for the 34S but it didn't make it in But where to stop including useful functions.... - Pauli RE: Harmonic numbers on the HP 50g - Ángel Martin - 06-03-2014 05:41 AM
(06-02-2014 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 |