Appendix A, Alphabetical Summary of Routines

Evaluates the complex arc cosine.

Evaluates the real or complex arc hyperbolic cosine.

Evaluates the Airy function.

Evaluates the derivative of the Airy function.

Evaluates the Airy function of the second kind.

Evaluates the exponentially scaled derivative of the Airy function.

Evaluates the Kelvin function of the second kind, kei, of order zero.

Evaluates the Kelvin function of the second kind, kei, of order one.

Evaluates the derivative of the Kelvin function of the second kind, kei, of order zero.

Evaluates the Kelvin function of the second kind, ker, of order zero.

Evaluates the Kelvin function of the second kind, ker, of order one.

Evaluates the derivative of the Kelvin function of the second kind, ker, of order zero.

Evaluates the cumulative distribution function of the one‑sided Kolmogorov‑Smirnov goodness of fit D+ or D− test statistic based on continuous data for one sample.

Evaluates the cumulative distribution function of the Kolmogorov‑Smirnov goodness of fit D test statistic based on continuous data for two samples.

Evaluates the natural logarithm of the complete beta function for positive arguments.

Returns the logarithm of the absolute value of the gamma function and the sign of gamma.

Evaluates the logarithmic integral.

Evaluates the lognormal cumulative probability distribution function

Evaluates the real or complex function, ln ∣(x)∣.

Evaluates the inverse of the lognormal cumulative probability distribution function.

Evaluates the lognormal probability density function.

Evaluates ln(x + 1) for real or complex x.

Retrieves single‑precision machine constants.

Evaluates the standard normal (Gaussian) cumulative distribution function.

Evaluates the normal probability density function.

Evaluates the inverse of the standard normal (Gaussian) cumulative distribution function.

Evaluates the complex arc sine.

Evaluates the sinh−1 arc sine x for real or complex x.

Evaluates the complex arc tangent.

Evaluates the complex arc tangent of a ratio.

Evaluates the Kelvin function of the first kind, bei, of order zero.

Evaluates the Kelvin function of the first kind, bei, of order one.

Evaluates the derivative of the Kelvin function of the first kind, bei, of order zero.

Evaluates the Kelvin function of the first kind, ber, of order zero.

Evaluates the Kelvin function of the first kind, ber, of order one.

Evaluates the derivative of the Kelvin function of the first kind, ber, of order zero.

Evaluates the real or complex beta function, β(a,b).

Evaluates the incomplete beta function ratio.

Evaluates the beta cumulative distribution function.

Evaluates the inverse of the beta cumulative distribution function.

Evaluates the beta cumulative distribution function.

Evaluates the inverse of the beta cumulative distribution function.

This function evaluates the noncentral beta probability density function.

Evaluates the beta probability density function.

Evaluates the Airy function of the second kind.

Evaluates the derivative of the Airy function of the second kind.

Evaluates the exponentially scaled derivative of the Airy function of the second kind.

Evaluates the exponentially scaled Airy function of the second kind.

Evaluates the binomial cumulative distribution function.

Evaluates the binomial coefficient.

Evaluates the binomial probability density function.

Evaluates the bivariate normal cumulative distribution function.

Evaluates the modified Bessel function of the first kind of order zero.

Evaluates the exponentially scaled modified Bessel function of the first kind of order zero.

Evaluates the modified Bessel function of the first kind of order one.

Evaluates the exponentially scaled modified Bessel function of the first kind of order one.

Evaluates a sequence of exponentially scaled modified Bessel functions of the first kind with nonnegative real order and real positive arguments.

Evaluates a sequence of modified Bessel functions of the first kind with integer order and real or complex arguments.

Evaluates a sequence of modified Bessel functions of the first kind with real order and real positive arguments.

Evaluates the Bessel function of the first kind of order zero.

Evaluates the Bessel function of the first kind of order one.

Evaluates a sequence of Bessel functions of the first kind with integer order and real arguments.

Evaluates a sequence of Bessel functions of the first kind with real order and real positive arguments.

Evaluates the modified Bessel function of the second kind of order zero.

Evaluates the exponentially scaled modified Bessel function of the second kind of order zero.

Evaluates the modified Bessel function of the second kind of order one.

Evaluates the exponentially scaled modified Bessel function of the second kind of order one.

Evaluates a sequence of exponentially scaled modified Bessel functions of the second kind of fractional order.

Evaluates a sequence of modified Bessel functions of the second kind of fractional order.

Evaluates the Bessel function of the second kind of order zero.

Evaluates the Bessel function of the second kind of order one.

Evaluates the Airy function of the first kind for complex arguments.

Evaluates the derivative of the Airy function of the first kind for complex arguments.

Evaluates the argument of a complex number.

Evaluates the Airy function of the second kind for complex arguments.

Evaluates the derivative of the Airy function of the second kind for complex arguments.

Evaluates a sequence of modified Bessel functions of the first kind with real order and complex arguments.

Evaluates a sequence of Bessel functions of the first kind with real order and complex arguments.

Evaluates a sequence of Modified Bessel functions of the second kind with real order and complex arguments.

Evaluates the cube root.

Evaluates a sequence of Bessel functions of the second kind with real order and complex arguments.

Evaluates the complex scaled complemented error function.

Evaluates the hyperbolic cosine integral.

Evaluates the chi‑squared cumulative distribution function

Evaluates the inverse of the chi‑squared cumulative distribution function.

Evaluates the chi‑squared probability density function

Evaluates the cosine integral.

Evaluates a function closely related to the cosine integral.

Evaluates a function closely related to the hyperbolic cosine integral.

Evaluates the cosine for the argument in degrees.

Evaluates the cotangent.

Evaluates the N‑term Chebyshev series.

Evaluates the noncentral chi‑squared cumulative distribution function.

Evaluates the inverse of the noncentral chi‑squared cumulative function.

This function evaluates the noncentral chi‑squared probability density function.

Evaluates the Weierstrass P‑function in the lemniscat case for complex argument with unit period parallelogram.

Evaluate the first derivative of the Weierstrass P‑function in the lemniscatic case for complex argum with unit period parallelogram.

Evaluates the Weierstrass P‑function in the equianharmonic case for complex argument with unit period parallelogram.

Evaluates Dawson function.

Evaluates the exponential integral for arguments greater than zero and the Cauchy principal value of the integral for arguments less than zero.

Evaluates the exponential integral for arguments greater than zero and the Cauchy principal value for arguments less than zero.

Evaluates the Jacobi elliptic function cn(x, m).

This function evaluates the Jacobi elliptic function dn(x, m).

Evaluates the Jacobi elliptic function sn(x, m).

Evaluates the complete elliptic integral of the second kind E(x).

Evaluates the complete elliptic integral of the kind K(x).

Evaluates an elementary integral from which inverse circular functions, logarithms and inverse hyperbolic functions can be computed.

Evaluates Carlson’s incomplete elliptic integral of the second kind RD(X, Y, Z).

Evaluates Carlson’s incomplete elliptic integral of the first kind RF(X, Y, Z).

Evaluates Carlson’s incomplete elliptic integral of the third kind RJ(X, Y, Z, RHO).

Evaluates the exponential integral of integer order for arguments greater than zero scaled by EXP(X).

Evaluates the error function.

Evaluates the complementary error function.

Evaluates the exponentially scaled complementary error function.

Evaluates the inverse complementary error function.

Evaluates the inverse error function.

Sets error handler default printer and stop actions.

Evaluates the exponential cumulative distribution function.

Evaluates the inverse of the exponential cumulative distribution function.

Evaluates the exponential probability density function.

Evaluates (ex – 1)/x for real or complex x.

Evaluates the extreme value cumulative distribution function.

Evaluates the inverse of the extreme value cumulative distribution function.

Evaluates the factorial of the argument.

Evaluates the F cumulative distribution function.

Evaluates the inverse of the F cumulative distribution function.

Noncentral F cumulative distribution function.

This function evaluates the inverse of the noncentral F cumulative distribution function (CDF).

This function evaluates the noncentral F cumulative distribution function (CDF).

Evaluates the F probability density function.

Evaluates the cosine Fresnel integral.

Evaluates the gamma cumulative distribution function.

Evaluates the incomplete gamma function.

Evaluates the complementary incomplete gamma function.

This function evaluates the inverse of the gamma cumulative distribution function.

Evaluates the Tricomi form of the incomplete gamma function.

Evaluates the real or complex gamma function, Γ(x).

This function evaluates the gamma probability density function.

Evaluates the reciprocal of the real or complex gamma function, 1/Γ(x).

Evaluates a general continuous cumulative distribution function given ordinates of the density.

Evaluates the inverse of a general continuous cumulative distribution function given ordinates of the density.

Evaluates the discrete geometric cumulative probability distribution function.

Evaluates the inverse of the geometric cumulative probability distribution function.

Evaluates the discrete geometric probability density function.

Evaluates the hypergeometric cumulative distribution function.

Retrieves the integer code for an informational error.

Checks if a value is NaN (not a number).

Retrieves integer machine constants.

Evaluates a sequence of even, periodic, integer order, real Mathieu functions.

Evaluates the eigenvalues for the periodic Mathieu functions.

Evaluates a generalization of Pochhammer’s symbol.

Evaluates a generalization of Pochhammer’s symbol starting from the first order.

Evaluates the Poisson cumulative distribution function.

Evaluates the Poisson probability density function.

Evaluates the derivative of the log gamma function.

Evaluates the Rayleigh cumulative distribution function.

Evaluates the inverse of the Rayleigh cumulative distribution function.

Evaluates the hyperbolic sine integral.

Evaluates the sine integral.

Evaluates the sine for the argument in degrees.

Evaluates tan z for complex z.

Evaluates the Student’s t cumulative distribution function.

Evaluates the inverse of the Student’s t cumulative distribution function.

Evaluates the noncentral Student’s t cumulative distribution function.

Evaluates the inverse of the noncentral Student’s t cumulative distribution function.

This function evaluates the noncentral Student's t probability density function.

Sets or Retrieves input or output device unit numbers.

Evaluates the uniform cumulative distribution function.

Evaluates the discrete uniform cumulative distribution function.

Evaluates the inverse of the discrete uniform cumulative distribution function.

Evaluates the discrete uniform probability density function.

Evaluates the inverse of the uniform cumulative distribution function.

Evaluates the Weibull cumulative distribution function

Evaluates the inverse of the Weibull cumulative distribution function.