| S01BAF | ln(1 + x) |
| S01EAF | Complex exponential, ez |
| S07AAF | tanx |
| S09AAF | arcsinx |
| S09ABF | arccosx |
| S10AAF | tanhx |
| S10ABF | sinhx |
| S10ACF | coshx |
| S11AAF | arctanhx |
| S11ABF | arcsinhx |
| S11ACF | arccoshx |
| S13AAF | Exponential integral E1(x) |
| S13ACF | Cosine integral Ci(x) |
| S13ADF | Sine integral Si(x) |
| S14AAF | Gamma function |
| S14ABF | Log gamma function, real argument |
| S14ACF | ψ(x) − lnx |
| S14ADF | Scaled derivatives of ψ(x) |
| S14AEF | Polygamma function ψ(n)(x) for real x |
| S14AFF | Polygamma function ψ(n)(z) for complex z |
| S14AGF | Logarithm of the gamma function lnΓ(z), complex argument |
| S14AHF | Scaled log gamma function |
| S14BAF | Incomplete gamma functions P(a,x) and Q(a,x) |
| S14CBF | Logarithm of the beta function ln(B,a,b) |
| S14CCF | Incomplete beta function Ix(a,b) and its complement 1 − Ix |
| S15ABF | Cumulative Normal distribution function P(x) |
| S15ACF | Complement of cumulative Normal distribution function Q(x) |
| S15ADF | Complement of error function erfc(x) |
| S15AEF | Error function erf(x) |
| S15AFF | Dawson's integral |
| S15AGF | Scaled complement of error function, erfcx(x) |
| S15DDF | Scaled complex complement of error function, exp( − z2)erfc( − iz) |
| S17ACF | Bessel function Y0(x) |
| S17ADF | Bessel function Y1(x) |
| S17AEF | Bessel function J0(x) |
| S17AFF | Bessel function J1(x) |
| S17AGF | Airy function Ai(x) |
| S17AHF | Airy function Bi(x) |
| S17AJF | Airy function Ai′(x) |
| S17AKF | Airy function Bi′(x) |
| S17ALF | Zeros of Bessel functions Jα(x), Jα ′ (x), Yα(x) or Yα ′ (x) |
| S17AQF | Bessel function vectorized Y0(x) |
| S17ARF | Bessel function vectorized Y1(x) |
| S17ASF | Bessel function vectorized J0(x) |
| S17ATF | Bessel function vectorized J1(x) |
| S17AUF | Airy function vectorized Ai(x) |
| S17AVF | Airy function vectorized Bi(x) |
| S17AWF | Airy function vectorized Ai′(x) |
| S17AXF | Airy function vectorized Bi′(x) |
| S17DCF | Bessel functions Yν + a(z), real a ≥ 0, complex z, ν = 0,1,2, … |
| S17DEF | Bessel functions Jν + a(z), real a ≥ 0, complex z, ν = 0,1,2, … |
| S17DGF | Airy functions Ai(z) and Ai′(z), complex z |
| S17DHF | Airy functions Bi(z) and Bi′(z), complex z |
| S17DLF | Hankel functions Hν + a(j)(z), j = 1,2, real a ≥ 0, complex z, ν=0,1,2, … |
| S18ACF | Modified Bessel function K0(x) |
| S18ADF | Modified Bessel function K1(x) |
| S18AEF | Modified Bessel function I0(x) |
| S18AFF | Modified Bessel function I1(x) |
| S18AQF | Modified Bessel function vectorized K0(x) |
| S18ARF | Modified Bessel function vectorized K1(x) |
| S18ASF | Modified Bessel function vectorized I0(x) |
| S18ATF | Modified Bessel function vectorized I1(x) |
| S18CCF | Scaled modified Bessel function exK0(x) |
| S18CDF | Scaled modified Bessel function exK1(x) |
| S18CEF | Scaled modified Bessel function e − |x|I0(x) |
| S18CFF | Scaled modified Bessel function e − |x|I1(x) |
| S18CQF | Scaled modified Bessel function vectorized exK0(x) |
| S18CRF | Scaled modified Bessel function vectorized exK1(x) |
| S18CSF | Scaled modified Bessel function vectorized e − |x|I0(x) |
| S18CTF | Scaled modified Bessel function vectorized e − |x|I1(x) |
| S18DCF | Modified Bessel functions Kν + a(z), real a ≥ 0, complex z, ν = 0,1,2, … |
| S18DEF | Modified Bessel functions Iν + a(z), real a ≥ 0, complex z, ν = 0,1,2, … |
| S18GKF | Bessel function of the 1st kind Jα ± n(z) |
| S19AAF | Kelvin function berx |
| S19ABF | Kelvin function beix |
| S19ACF | Kelvin function kerx |
| S19ADF | Kelvin function keix |
| S19ANF | Kelvin function vectorized berx |
| S19APF | Kelvin function vectorized beix |
| S19AQF | Kelvin function vectorized kerx |
| S19ARF | Kelvin function vectorized keix |
| S20ACF | Fresnel integral S(x) |
| S20ADF | Fresnel integral C(x) |
| S20AQF | Fresnel integral vectorized S(x) |
| S20ARF | Fresnel integral vectorized C(x) |
| S21BAF | Degenerate symmetrised elliptic integral of 1st kind RC(x,y) |
| S21BBF | Symmetrised elliptic integral of 1st kind RF(x,y,z) |
| S21BCF | Symmetrised elliptic integral of 2nd kind RD(x,y,z) |
| S21BDF | Symmetrised elliptic integral of 3rd kind RJ(x,y,z,r) |
| S21BEF | Elliptic integral of 1st kind, Legendre form, F(φ ∣ m) |
| S21BFF | Elliptic integral of 2nd kind, Legendre form, E (φ ∣ m) |
| S21BGF | Elliptic integral of 3rd kind, Legendre form, Π (n ; φ ∣ m) |
| S21BHF | Complete elliptic integral of 1st kind, Legendre form, K (m) |
| S21BJF | Complete elliptic integral of 2nd kind, Legendre form, E (m) |
| S21CAF | Jacobian elliptic functions sn, cn and dn of real argument |
| S21CBF | Jacobian elliptic functions sn, cn and dn of complex argument |
| S21CCF | Jacobian theta functions θk(x,q) of real argument |
| S21DAF | General elliptic integral of 2nd kind F(z,k′,a,b) of complex argument |
| S22AAF | Legendre functions of 1st kind Pnm(x) or Pnm(x) |
| S22BAF | Real confluent hypergeometric function 1F1 (a ; b ; x) |
| S22BBF | Real confluent hypergeometric function 1F1 (a ; b ; x) in scaled form |
| S30AAF | Black–Scholes–Merton option pricing formula |
| S30ABF | Black–Scholes–Merton option pricing formula with Greeks |
| S30BAF | Floating-strike lookback option pricing formula |
| S30BBF | Floating-strike lookback option pricing formula with Greeks |
| S30CAF | Binary option, cash-or-nothing pricing formula |
| S30CBF | Binary option, cash-or-nothing pricing formula with Greeks |
| S30CCF | Binary option, asset-or-nothing pricing formula |
| S30CDF | Binary option, asset-or-nothing pricing formula with Greeks |
| S30FAF | Standard barrier option pricing formula |
| S30JAF | Jump-diffusion, Merton's model, option pricing formula |
| S30JBF | Jump-diffusion, Merton's model, option pricing formula with Greeks |
| S30NAF | Heston's model option pricing formula |
| S30NBF | Heston's model option pricing formula with Greeks |
| S30QCF | American option, Bjerksund and Stensland pricing formula |
| S30SAF | Asian option, geometric continuous average rate pricing formula |
| S30SBF | Asian option, geometric continuous average rate pricing formula with Greeks |