Module rgsl::hypergeometric
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[src]
Hypergeometric functions are described in Abramowitz & Stegun, Chapters 13 and 15.
Functions
hyperg_0F1 |
This routine computes the hypergeometric function 0F1(c,x). |
hyperg_0F1_e |
This routine computes the hypergeometric function 0F1(c,x). |
hyperg_1F1 |
This routine computes the confluent hypergeometric function 1F1(a,b,x) = M(a,b,x) for general parameters a, b. |
hyperg_1F1_U_int |
This routine computes the confluent hypergeometric function U(m,n,x) for integer parameters m, n. |
hyperg_1F1_U_int_e |
This routine computes the confluent hypergeometric function U(m,n,x) for integer parameters m, n. |
hyperg_1F1_U_int_e10_e |
This routine computes the confluent hypergeometric function U(m,n,x) for integer parameters m, n using the
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hyperg_1F1_e |
This routine computes the confluent hypergeometric function 1F1(a,b,x) = M(a,b,x) for general parameters a, b. |
hyperg_1F1_int |
This routine computes the confluent hypergeometric function 1F1(m,n,x) = M(m,n,x) for integer parameters m, n. |
hyperg_1F1_int_e |
This routine computes the confluent hypergeometric function 1F1(m,n,x) = M(m,n,x) for integer parameters m, n. |
hyperg_2F0 |
This routine computes the hypergeometric function 2F0(a,b,x). The series representation is a divergent hypergeometric series. However, for x < 0 we have 2F0(a,b,x) = (-1/x)a U(a,1+a-b,-1/x) |
hyperg_2F0_e |
This routine computes the hypergeometric function 2F0(a,b,x). The series representation is a divergent hypergeometric series. However, for x < 0 we have 2F0(a,b,x) = (-1/x)a U(a,1+a-b,-1/x) |
hyperg_2F1 |
This routine computes the Gauss hypergeometric function 2F1(a,b,c,x) = F(a,b,c,x) for |x| < 1. |
hyperg_2F1_conj |
This routine computes the Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) with complex parameters for |x| < 1. |
hyperg_2F1_conj_e |
This routine computes the Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) with complex parameters for |x| < 1. |
hyperg_2F1_conj_renorm |
This routine computes the renormalized Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) / \Gamma(c) for |x| < 1. |
hyperg_2F1_conj_renorm_e |
This routine computes the renormalized Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) / \Gamma(c) for |x| < 1. |
hyperg_2F1_e |
This routine computes the Gauss hypergeometric function 2F1(a,b,c,x) = F(a,b,c,x) for |x| < 1. |
hyperg_2F1_renorm |
This routine computes the renormalized Gauss hypergeometric function 2F1(a,b,c,x) / \Gamma(c) for |x| < 1. |
hyperg_2F1_renorm_e |
This routine computes the renormalized Gauss hypergeometric function 2F1(a,b,c,x) / \Gamma(c) for |x| < 1. |
hyperg_U |
This routine computes the confluent hypergeometric function U(a,b,x). |
hyperg_U_e |
This routine computes the confluent hypergeometric function U(a,b,x). |
hyperg_U_e10_e |
This routine computes the confluent hypergeometric function U(a,b,x) using the
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