Chapter Introduction |
S01BAF
|
ln (1+x) |
S01EAF
|
Complex exponential, e^z |
S07AAF
|
tan x |
S09AAF
|
arcsin x |
S09ABF
|
arccos x |
S10AAF
|
tanh x |
S10ABF
|
sinh x |
S10ACF
|
cosh x |
S11AAF
|
arctanh x |
S11ABF
|
arcsinh x |
S11ACF
|
arccosh x |
S13AAF
|
Exponential integral E1 (x) |
S13ACF
|
Cosine integral Ci(x) |
S13ADF
|
Sine integral Si(x) |
S14AAF
|
Gamma function
|
S14ABF
|
Log Gamma function
|
S14ACF
|
ψ (x) - ln x |
S14ADF
|
Scaled derivatives of ψ (x) |
S14AEF
|
Polygamma function ψ(n)(x) for real x |
S14AFF
|
Polygamma function ψ(n)(z) for complex z |
S14BAF
|
Incomplete Gamma functions P(a,x) and Q(a,x) |
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 |
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), J'α(x), Yα(x) or Y'α(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) |
S18CCF
|
Modified Bessel function exK0(x) |
S18CDF
|
Modified Bessel function exK1(x) |
S18CEF
|
Modified Bessel function e-|x|I0(x) |
S18CFF
|
Modified Bessel function 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,... |
S19AAF
|
Kelvin function ber x |
S19ABF
|
Kelvin function bei x |
S19ACF
|
Kelvin function ker x |
S19ADF
|
Kelvin function kei x |
S20ACF
|
Fresnel integral S(x) |
S20ADF
|
Fresnel integral 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) |
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 Pnmx |