This gitter chat room is used to discuss about the GSoC'16 project "Implementation of Holonomic Function".
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shubhamtibra on fixing_bugs
added uses in integration and l… (compare)
shubhamtibra on fixing_bugs
trying to fix build errors (compare)
shubhamtibra on fixing_bugs
made changes as per the suggest… uncomment statements in examples (compare)
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shubhamtibra on fixing_bugs
added docs for integration and … add autofunction in docs (compare)
shubhamtibra on fixing_bugs
better explanation of holonomic… (compare)
shubhamtibra on fixing_bugs
better explanation of holonomic… (compare)
shubhamtibra on fixing_bugs
better explanation of holonomic… (compare)
shubhamtibra on fixing_bugs
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shubhamtibra on fixing_bugs
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shubhamtibra on fixing_bugs
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shubhamtibra on fixing_bugs
Added tests for KanesMethod.rhs… Changed KanesMethod.rhs() such … Merge pull request #1 from krit… and 100 more (compare)
shubhamtibra on fixing_bugs
Fix #11490 and Fix #11491 (compare)
shubhamtibra on fixing_bugs
fixed a bug in computing initia… (compare)
shubhamtibra on fixing_bugs
change printing of holonomic fu… (compare)
shubhamtibra on singular_ics
change a to int(a) (compare)
shubhamtibra on singular_ics
fixed a bug and added tests computing singular initial cond… (compare)
shubhamtibra on singular_ics
fixed a bug in unify and added … (compare)
str
should be valid python.
I think the better way to do this can be:
str
will use f = Function('f')
in printing so that one can use .subs()
. So it should return HolonomicFunction(f(x) + Derivative(f(x), x, x), x), f(0) = 0, f'(0) = 1
for our example.
And calling srepr
on the example should return HolonomicFunction(1 + Dx**2, x, 0, [0, 1])
which is valid python.
str
: This differs from __repr__()
in that it does not have to be a valid Python expression: a more convenient or concise representation may be used instead. On the other hand, srepr
in SymPy does represent e.g 1 + Dx**2
in the following form Add(Pow(Symbol('Dx'), Integer(2)), Integer(1))
, which is not very convenient here.
to_expr()
.p = q + 1
.
p
and q
in the above condition are the parameters of hyper which differ from those of G-functions where the condition would be p == q
. In that case there are Slater expansions at both zero and infinity. They are analytic continuations of each other. The equation has a third singular point at 1 (or -1 for the plus sign case). That singularity restricts the convergence of the power series of both x
and 1/x
.
p == q
. But even in this case, it should be possible to connect power series in x
with those in 1/x
by means of G-functions. They are all solutions of the same holonomic equation.
lenics
.
lenics
in the newer PR here.
I think it'd be fun to write an article for the module. However I think may be we should wait a little to get the module more mature and then we can have a better article. I mean after overcoming some limitations (in integration, converting to MeijerG and to expressions) we have now. After we successfully integrate large types of functions using Holonomic Functions
, we would be able to add it in the paper too. What are your thoughts about it?
I am also starting to work on Sphinx documentation.