#17737: wrap Maxima's factorial/gamma conversions/expansions
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by rws:
Old description:
> To be most clear to the user (and staying in sync with current ticket
> discussions) I rather propose four functions:
> * `gamma_to_factorial` - use `simplify_full`(?)
> * `factorial_to_gamma` - use `makegamma` with
> `maxima.eval("gamma_expand:true")`
> * `expand_gamma` - e.g., `gamma(n+1) --> n*gamma(n)`, use `makegamma`
> with `maxima.eval("gamma_expand:false")`
> * `simplify_gamma` - e.g., `n*gamma(n) --> gamma(n+1)`, use `makegamma`
> with `maxima.eval("gamma_expand:true")`. Could be an alias to 2) or left
> out.
>
> This ticket will *not include one of these in another `simplify*`
> function.
New description:
To be most clear to the user (and staying in sync with current ticket
discussions) I rather propose four functions:
* `gamma_to_factorial` - use `simplify_full`(?)
* `factorial_to_gamma` - use `makegamma` with
`maxima.eval("gamma_expand:true")`
* `expand_gamma` - e.g., `gamma(n+1) --> n*gamma(n)`, use `makegamma`
with `maxima.eval("gamma_expand:false")`, also `expand_gamma`
* `simplify_gamma` - e.g., `n*gamma(n) --> gamma(n+1)`, use `makegamma`
with `maxima.eval("gamma_expand:true")`. Could be an alias to 2) or left
out.
This ticket will *not include one of these in another `simplify*`
function.
--
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Ticket URL: <http://trac.sagemath.org/ticket/17737#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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