Keyword : Functions, approximations of

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 $E_{1} (x)$
S13ACF	Cosine integral $Ci (x)$
S13ADF	Sine integral $Si (x)$
S14AAF	Gamma function
S14ABF	Log gamma function, real argument
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 $z$
S14AGF	Logarithm of the gamma function $\ln Γ (z)$ , 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 $I_{x} (a, b)$ and its complement $1 - I_{x}$
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
S15AGF	Scaled complement of error function, $erfcx (x)$
S15DDF	Scaled complex complement of error function, $\exp (- z^{2}) erfc (- i z)$
S17ACF	Bessel function $Y_{0} (x)$
S17ADF	Bessel function $Y_{1} (x)$
S17AEF	Bessel function $J_{0} (x)$
S17AFF	Bessel function $J_{1} (x)$
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 $J_{α} (x)$ , $J_{α}^{'} (x)$ , $Y_{α} (x)$ or $Y_{α}^{'} (x)$
S17AQF	Bessel function vectorized $Y_{0} (x)$
S17ARF	Bessel function vectorized $Y_{1} (x)$
S17ASF	Bessel function vectorized $J_{0} (x)$
S17ATF	Bessel function vectorized $J_{1} (x)$
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 $Y_{ν + a} (z)$ , real $a \geq 0$ , complex $z$ , $ν = 0, 1, 2, \dots$
S17DEF	Bessel functions $J_{ν + a} (z)$ , real $a \geq 0$ , complex $z$ , $ν = 0, 1, 2, \dots$
S17DGF	Airy functions $Ai (z)$ and ${Ai}^{'} (z)$ , complex $z$
S17DHF	Airy functions $Bi (z)$ and ${Bi}^{'} (z)$ , complex $z$
S17DLF	Hankel functions $H_{ν + a}^{(j)} (z)$ , $j = 1, 2$ , real $a \geq 0$ , complex $z$ , $ν = 0, 1, 2, \dots$
S18ACF	Modified Bessel function $K_{0} (x)$

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Keyword Index for the NAG Library Manual

NAG Library Manual