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# sympy.integrals.risch.laurent_series

All Samples(4)  |  Call(2)  |  Derive(0)  |  Import(2)

```"""Most of these tests come from the examples in Bronstein's book."""
from sympy import (Poly, I, S, Function, log, symbols, exp, tan, sqrt,
Symbol, Lambda, sin, cos, Eq, Piecewise, factor)
from sympy.integrals.risch import (gcdex_diophantine, frac_in, as_poly_1t,
derivation, splitfactor, splitfactor_sqf, canonical_representation,
```
```    F = Poly(t**2 - 1, t)
n = 2
assert laurent_series(a, d, F, n, DE) == \
(Poly(-3*t**3 + 3*t**2 - 6*t - 8, t), Poly(t**5 + t**4 - 2*t**3 - 2*t**2 + t + 1, t),
[Poly(-3*t**3 - 6*t**2, t), Poly(2*t**6 + 6*t**5 - 8*t**3, t)])
```

```"""Most of these tests come from the examples in Bronstein's book."""
from sympy import (Poly, I, S, Function, log, symbols, exp, tan, sqrt,
Symbol, Lambda, sin, cos, Eq, Piecewise, factor)
from sympy.integrals.risch import (gcdex_diophantine, frac_in, as_poly_1t,
derivation, splitfactor, splitfactor_sqf, canonical_representation,
```
```    F = Poly(t**2 - 1, t)
n = 2
assert laurent_series(a, d, F, n, DE) == \
(Poly(-3*t**3 + 3*t**2 - 6*t - 8, t), Poly(t**5 + t**4 - 2*t**3 - 2*t**2 + t + 1, t),
[Poly(-3*t**3 - 6*t**2, t), Poly(2*t**6 + 6*t**5 - 8*t**3, t)])
```