fmpq_series – power series over rational numbers

class flint.fmpq_series(val=None, den=None, prec=None)

asin(s)

asinh(s)

atan(s)

atanh(s)

coeffs(self)

cos(s)

cosh(s)

denom(self)

derivative(s)

exp(s)

integral(s)

inv(s)

length(self) → long

log(s)

numer(self)

p

fmpq_series.numer(self)

q

fmpq_series.denom(self)

repr(self, **kwargs)

reversion(s)

Returns the power series reversion (compositional inverse) of s.

>>> x = fmpq_series([0,1]); print((x/2-x**2).reversion())
2*x + 8*x^2 + 64*x^3 + 640*x^4 + 7168*x^5 + 86016*x^6 + 1081344*x^7 + 14057472*x^8 + 187432960*x^9 + O(x^10)

rsqrt(s)

sin(s)

sinh(s)

sqrt(s)

str(self, **kwargs)

tan(s)

tanh(s)

valuation(self)