acb_series – power series over complex numbers

class flint.acb_series(val=None, prec=None)

agm(s, t=None)

airy(s)

airy_ai(s)

airy_ai_prime(s)

airy_bi(s)

airy_bi_prime(s)

atan(s)

beta_lower(type cls, a, b, z, int regularized=0)

chi(s)

ci(s)

coeffs(self)

cos(s)

cos_pi(s)

cot_pi(s)

derivative(s)

ei(s)

elliptic_k(s)

elliptic_p(s, tau)

erf(s)

erfc(s)

erfi(s)

exp(s)

fresnel(s, bool normalized=True)

fresnel_c(s, bool normalized=True)

fresnel_s(s, bool normalized=True)

gamma(s)

gamma_lower(type cls, s, z, int regularized=0)

gamma_upper(type cls, s, z, int regularized=0)

hypgeom(type cls, a, b, z, long n=-1, bool regularized=False)

Computes the generalized hypergeometric function \({}_pF_q(a;b;z)\) given lists of power series \(a\) and \(b\) and a power series \(z\).

The optional parameter n, if nonnegative, controls the number of terms to add in the hypergeometric series. This is just a tuning parameter: a rigorous error bound is computed regardless of n.

integral(s)

inv(s)

lambertw(s, branch=0)

length(self) → long

lgamma(s)

li(s, bool offset=False)

log(s)

polylog(type cls, s, z)

repr(self, **kwargs)

reversion(s)

rgamma(s)

rising(s, ulong n)

rsqrt(s)

shi(s)

si(s)

sin(s)

sin_cos(s)

sin_cos_pi(s)

sin_pi(s)

sqrt(s)

str(self, **kwargs)

tan(s)

valuation(self)

zeta(s, a=1, bool deflate=0)