Chu Hyp0f1 Hyp1f0 Hyp1f1 Hyp1f1r Hyp2f0 Hyp2f1 Lhyp1f1

Hyp2f1() Function Hyp2f1 ( A1 As  Double, A2 As  Double, B As  Double, Z As  Double, Optional Info As  Long  ) Hypergeometric function 2F1(a1, a2; b; z) (Gaussian hypergeometric function) Purpose This routine computes the hypergeometric function 2F1(a1, a2; b; z). 2F1(a1, a2; b; z) = Σ(a1)k*(a2)k/(b)k * z^k/k! (k = 1 to ∞) Returns Double 2F1(a1, a2; b; z). Parameters [in] A1 Argument a1. [in] A2 Argument a2. [in] B Argument b. [in] Z Argument z. [out] Info (Optional) = 0: Successful exit. = -4: The argument Z had an illegal value. (Z is outside the addressed range) = 1: The internally estimated relative error exceeds 1.0e-12, range error is reported to indicate the partial loss of precision. = 1: Other floating point range error. Note z < -1 and z > 1 are not addressed except for some special cases. The parameters a1, a2 and b ranging from -1 to 7 are tested (-7 to 7 for some special cases). It is recommended to use within this range. The parameters a1, a2 and b are considered to be integer valued if they are within 1.0e-13 of the nearest integer. Reference netlib/cephes