|
Routine Name |
Mark of Introduction |
Purpose |
| S01BAF Example Text Example Data | 14 | ln (1+x) |
| S01EAF Example Text Example Data | 14 | Complex exponential, ez |
| S07AAF Example Text Example Data | 1 | tan x |
| S09AAF Example Text Example Data | 1 | arcsin x |
| S09ABF Example Text Example Data | 3 | arccos x |
| S10AAF Example Text Example Data | 3 | tanh x |
| S10ABF Example Text Example Data | 4 | sinh x |
| S10ACF Example Text Example Data | 4 | cosh x |
| S11AAF Example Text Example Data | 4 | arctanh x |
| S11ABF Example Text Example Data | 4 | arcsinh x |
| S11ACF Example Text Example Data | 4 | arccosh x |
| S13AAF Example Text Example Data | 1 | Exponential integral E1 (x) |
| S13ACF Example Text Example Data | 2 | Cosine integral Ci(x) |
| S13ADF Example Text Example Data | 5 | Sine integral Si(x) |
| S14AAF Example Text Example Data | 1 | Gamma function |
| S14ABF Example Text Example Data | 8 | Log Gamma function |
| S14ACF Example Text Example Data | 14 | ψ (x) - ln x |
| S14ADF Example Text Example Data | 14 | Scaled derivatives of ψ (x) |
| S14AEF Example Text Example Data | 20 | Polygamma function ψ(n)(x) for real x |
| S14AFF Example Text Example Data | 20 | Polygamma function ψ(n)(z) for complex z |
| S14BAF Example Text Example Data | 14 | Incomplete Gamma functions P(a,x) and Q(a,x) |
| S15ABF Example Text Example Data | 3 | Cumulative Normal distribution function P(x) |
| S15ACF Example Text Example Data | 4 | Complement of cumulative Normal distribution function Q(x) |
| S15ADF Example Text Example Data | 4 | Complement of error function erfc(x) |
| S15AEF Example Text Example Data | 4 | Error function erf(x) |
| S15AFF Example Text Example Data | 7 | Dawson's integral |
| S15DDF Example Text Example Data | 14 | Scaled complex complement of error function, exp(-z2) erfc(-iz) |
| S17ACF Example Text Example Data | 1 | Bessel function Y0 (x) |
| S17ADF Example Text Example Data | 1 | Bessel function Y1 (x) |
| S17AEF Example Text Example Data | 5 | Bessel function J0 (x) |
| S17AFF Example Text Example Data | 5 | Bessel function J1 (x) |
| S17AGF Example Text Example Data | 8 | Airy function Ai(x) |
| S17AHF Example Text Example Data | 8 | Airy function Bi(x) |
| S17AJF Example Text Example Data | 8 | Airy function Ai'(x) |
| S17AKF Example Text Example Data | 8 | Airy function Bi'(x) |
| S17ALF Example Text Example Data | 20 | Zeros of Bessel functions Jα(x), J'α(x), Yα(x) or Y'α(x) |
| S17DCF Example Text Example Data | 13 | Bessel functions Yν+a(z), real a ≥ 0, complex z, ν =0,1, 2,... |
| S17DEF Example Text Example Data | 13 | Bessel functions Jν+a(z), real a ≥ 0, complex z, ν =0,1, 2,... |
| S17DGF Example Text Example Data | 13 | Airy functions Ai(z) and Ai'(z) , complex z |
| S17DHF Example Text Example Data | 13 | Airy functions Bi(z) and Bi'(z) , complex z |
| S17DLF Example Text Example Data | 13 | Hankel functions Hν+a(j)(z), j=1,2, real a ≥ 0, complex z, ν =0,1,2,... |
| S18ACF Example Text Example Data | 1 | Modified Bessel function K0 (x) |
| S18ADF Example Text Example Data | 1 | Modified Bessel function K1 (x) |
| S18AEF Example Text Example Data | 5 | Modified Bessel function I0 (x) |
| S18AFF Example Text Example Data | 5 | Modified Bessel function I1(x) |
| S18CCF Example Text Example Data | 10 | Modified Bessel function exK0(x) |
| S18CDF Example Text Example Data | 10 | Modified Bessel function exK1(x) |
| S18CEF Example Text Example Data | 10 | Modified Bessel function e-|x|I0(x) |
| S18CFF Example Text Example Data | 10 | Modified Bessel function e-|x|I1(x) |
| S18DCF Example Text Example Data | 13 | Modified Bessel functions Kν+a(z), real a ≥ 0, complex z, ν =0,1,2,... |
| S18DEF Example Text Example Data | 13 | Modified Bessel functions Iν+a(z), real a ≥ 0, complex z, ν =0,1,2,... |
| S19AAF Example Text Example Data | 11 | Kelvin function ber x |
| S19ABF Example Text Example Data | 11 | Kelvin function bei x |
| S19ACF Example Text Example Data | 11 | Kelvin function ker x |
| S19ADF Example Text Example Data | 11 | Kelvin function kei x |
| S20ACF Example Text Example Data | 5 | Fresnel integral S(x) |
| S20ADF Example Text Example Data | 5 | Fresnel integral C(x) |
| S21BAF Example Text | 8 | Degenerate symmetrised elliptic integral of 1st kind RC(x,y) |
| S21BBF Example Text | 8 | Symmetrised elliptic integral of 1st kind RF(x,y,z) |
| S21BCF Example Text | 8 | Symmetrised elliptic integral of 2nd kind RD(x,y,z) |
| S21BDF Example Text | 8 | Symmetrised elliptic integral of 3rd kind RJ(x,y,z,r) |
| S21CAF Example Text Example Data | 15 | Jacobian elliptic functions sn, cn and dn of real argument |
| S21CBF Example Text Example Data | 20 | Jacobian elliptic functions sn, cn and dn of complex argument |
| S21CCF Example Text Example Data | 20 | Jacobian theta functions θk (x,q) of real argument |
| S21DAF Example Text Example Data | 20 | General elliptic integral of 2nd kind F(z,k',a,b) of complex argument |
| S22AAF Example Text Example Data | 20 | Legendre functions of 1st kind Pnm (x) or (x) |