#18141: special values of transcendental functions
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: symbolics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The functions in `transcentental.py` could return special values:
* `zetaderiv(0,1)=-1/2*log(2*pi)`, http://dlmf.nist.gov/25.6#E11
* `zetaderiv(0,2)=-1/2*log(2*pi)^2+...`, http://dlmf.nist.gov/25.6#E12,
needs Euler constants
* `hurwitz_zeta`, we already have:
{{{
sage: hurwitz_zeta(5,1/2)
31*zeta(5)
sage: hurwitz_zeta(x,1/2)
hurwitz_zeta(x, 1/2)
}}}
The latter should be `(2^x-1)*zeta(x)`. Also `hurwitz_zeta(0,...)` is
missing, http://dlmf.nist.gov/25.11#v
This ticket may also discuss: are there closed forms without `zeta` for
* `zeta` with odd positive argument: http://dlmf.nist.gov/25.6#E6 ?
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Ticket URL: <http://trac.sagemath.org/ticket/18141>
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