f21_ts – ROTEX

public pure elemental function f21_ts(a, b, c, z, tol) result(res)

Returns the Gauss hypergeometric function ₂F₁(a,b,;c;z) via a Taylor series method, with quad precision

Type	Intent	Optional		Name
complex(kind=dp),	intent(in)		::	a
complex(kind=dp),	intent(in)		::	b
complex(kind=dp),	intent(in)		::	c
complex(kind=dp),	intent(in)		::	z
real(kind=dp),	intent(in),	optional	::	tol	The tolerance for which $\frac{ \left\lvert S_{N+1} - S_{N} \right\rvert }{ \left\lvert S_N \right\rvert }$ must be met for the series to be considered converged. If this is not supplied, this value will be taken to be machine epsilon `macheps_dp` from the `hypergeometric__constants` module.