#11164: Integral of sin(x)/x gives false result.
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Reporter: benreynwar | Owner: burcin
Type: defect | Status:
Priority: major | needs_info
Component: calculus | Milestone:
Keywords: | Resolution:
Authors: | Merged in:
Report Upstream: Reported upstream. No | Reviewers:
feedback yet. | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by kcrisman):
See also the documentation for
[http://maxima.sourceforge.net/docs/manual/maxima_15.html#Item_003a-
gamma_005fexpand gamma_expand]. The
[http://www.walkingrandomly.com/images/maxima/ChangeLog-5.17-special-
functions.txt changelog says]
{{{
Implementation of the Incomplete Gamma function
New Maxima User function: gamma_incomplete(a,z)
The following features are implemented:
- Evaluation for real and complex numbers in double float and
bigfloat precision
- Special values for gamma_incomplete(a,0) and gamma_incomplete(a,inf)
- When $gamma_expand T expand the following expressions:
gamma_incomplete(0,z)
gamma_incomplete(n+1/2)
gamma_incomplete(1/2-n)
gamma_incomplete(n,z)
gamma_incomplete(-n,z)
gamma_incomplete(a+n,z)
gamma_incomplete(a-n,z)
- Mirror symmetry
- Derivative wrt the arguments a and z
--------------------------------------------------------------------------------
Implementation of the Generalized Incomplete Gamma function
New Maxima User function: gamma_incomplete_generalized(a,z1,z2)
The following features are implemented:
- Evaluation for real and complex numbers in double float and
bigfloat precision
- Special values for:
gamma_incomplete_generalized(a,z1,0)
gamma_incomplete_generalized(a,0,z2),
gamma_incomplete_generalized(a,z1,inf)
gamma_incomplete_generalized(a,inf,z2)
gamma_incomplete_generalized(a,0,inf)
gamma_incomplete_generalized(a,x,x)
- When $gamma_expand T and n an integer expand
gamma_incomplete_generalized(a+n,z1,z2)
- Implementation of Mirror symmetry
- Derivative wrt the arguments a, z1 and z2
--------------------------------------------------------------------------------
Implementation of the Regularized Incomplete Gamma function
New Maxima User function: gamma_incomplete_regularized(a,z)
The following features are implemented:
- Evaluation for real and complex numbers in double float and
bigfloat precision
- Special values for:
gamma_incomplete_regularized(a,0)
gamma_incomplete_regularized(0,z)
gamma_incomplete_regularized(a,inf)
- When $gamma_expand T and n a positive integer expansions for
gamma_incomplete_regularized(n+1/2,z)
gamma_incomplete_regularized(1/2-n,z)
gamma_incomplete_regularized(n,z)
gamma_incomplete_regularized(a+n,z)
gamma_incomplete_regularized(a-n,z)
- Derivative wrt the arguments a and z
- Implementation of Mirror symmetry
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/11164#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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