This gitter chat room is used to discuss about the GSoC'16 project "Implementation of Holonomic Function".
shubhamtibra on fixing_bugs
added uses in integration and l… (compare)
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)
shubhamtibra on fixing_bugs
changed to documentation to sup… (compare)
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
changed the structure of docume… (compare)
shubhamtibra on fixing_bugs
changed the structure of docume… (compare)
shubhamtibra on fixing_bugs
added a very basic sphinx docum… added things in documentation (compare)
shubhamtibra on test_doc
added a very basic sphinx docum… (compare)
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)
singular_ics = [(-1, [1, 0, -1])]
, i.e. the series is of the form $x^{-1}(1 + 0 - x^{2} ....)$ or $1/x - x + ...$. If we integrate the initial terms of the series to compute singular_ics
of the result, the term 1/x
will become log(x)
. In cases where there is no term of x
with power -1
we can compute the singular_ics
directly by integration of initial terms of the series. What should be the singular_ics
for this case?
log(x)
multiplied by an initial condition of the more general type (i.e. x**s
multiplied by a constant and optionally some low order terms), in addition of the usual initial conditions at a regular singular point.
NotImplementedError
when something like this will appear.
Does there exist a general algorithm to compute singular initial condition for functions? I actually was adding code to compute it one by one for specific families of functions like polynomials and algebraic functions.
It'd be possible to compute it easily for any function if the indicial equation have only one root r
. We can then use g(x) = f(x)/x**r
. So the singular initial condition should be {r:[g(x0), g'(x0), g''(x0)/2! ...]}
.
a = int(a)
is defined here before using range(a)
. So I guess a
would be an integer while calling range()
.