Changes between Initial Version and Version 2 of Ticket #16671


Ignore:
Timestamp:
07/26/14 13:54:54 (5 years ago)
Author:
rws
Comment:

Replying to fredrik.johansson:

For exact values, FLINT has arith_harmonic_number()

Unfortunately, neither FLINT nor mpmath implements the generalized H(m,n) returned by Maxima in the code example.

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  • Ticket #16671

    • Property Summary changed from implement harmonic number function H_n to implement harmonic number function H(n,m)
  • Ticket #16671 – Description

    initial v2  
    11H_n belongs to the holonomic repertoir and should be available in Sage, both numerically and symbolically. For some info, see https://groups.google.com/forum/#!topic/sage-devel/uaA0yU7dZHU and https://en.wikipedia.org/wiki/Harmonic_number
     2
     3This is actually a defect because we leave a Maxima result undefined:
     4{{{
     5sage: sum(1/k^3,k,1,n)
     6gen_harmonic_number(3, n)
     7sage: gen_harmonic_number?
     8Object `gen_harmonic_number` not found.
     9}}}