Version 2.1 Build 208

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**Declarations** Section, **AI** Function, **AIE** Function, **BesselI** Function, **BesselI0** Function, **BesselI0E** Function, **BesselI1** Function, **BesselI1E** Function, **BesselIE** Function, **BesselJ** Function, **BesselJ0** Function, **BesselJ1** Function, **BesselK** Function, **BesselK0** Function, **BesselK0E** Function, **BesselK1** Function, **BesselK1E** Function, **BesselKE** Function, **BesselY** Function, **BesselY0** Function, **BesselY1** Function, **Beta** Function, **BetaI** Function, **BetaLn** Function, **BI** Function, **BIE** Function, **Binom** Function, **CubeRoot** Function, **CHU** Function, **Dawson** Function, **E1** Function, **EI** Function, **Erf** Function, **ErfC** Function, **ExpRel** Function, **Fac** Function, **Gamma** Function, **GammaI** Function, **GammaIC** Function, **GammaIT** Function, **GammaLn** Function, **GammaILn** Function, **GammaR** Function, **LI** Function, **LnRel** Function, **Pochhammer** Function, **Pochhammer1** Function, **Psi** Function, **RC** Function, **RD** Function, **RF** Function, **RJ** Function, **Spence** Function

**Declarations**Section**AI**Function- Evaluate the Airy function.
**AIE**Function- Calculate the Airy function for a negative argument and an exponentially scaled Airy function for a non-negative argument.
**Bessel I**Function- Compute the hyperbolic Bessel function of the first kind of order vAlpha.
**Bessel I0**Function- Compute the hyperbolic Bessel function of the first kind of order zero.
**Bessel I0E**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the first kind of order zero.
**Bessel I1**Function- Compute the modified (hyperbolic) Bessel function of the first kind of order one.
**Bessel I1E**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the first kind of order one.
**Bessel IE**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the first kind of order vAlpha.
**Bessel J**Function- Compute the Bessel function of the first kind of order vAlpha.
**Bessel J0**Function- Compute the Bessel function of the first kind of order zero.
**Bessel J1**Function- Compute the Bessel function of the first kind of order one.
**Bessel K**Function- Compute the modified (hyperbolic) Bessel function of the third kind of order vFNU.
**Bessel K0**Function- Compute the modified (hyperbolic) Bessel function of the third kind of order zero.
**Bessel K0E**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the third kind of order zero.
**Bessel K1**Function- Compute the modified (hyperbolic) Bessel function of the third kind of order one.
**Bessel K1E**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the third kind of order one.
**Bessel KE**Function- Compute the exponentially scaled modified (hyperbolic) Bessel function of the third kind of order vFNU.
**Bessel Y**Function- Compute the Bessel function of the second kind of order vFNU.
**Bessel Y0**Function- Compute the Bessel function of the second kind of order zero.
**Bessel Y1**Function- Compute the Bessel function of the second kind of order one.
**Beta**Function- Compute the complete Beta function.
**Beta I**Function- Calculate the incomplete Beta function.
**Beta Ln**Function- Compute the natural logarithm of the complete Beta function.
**BI**Function- Evaluate the Bairy function (the Airy function of the second kind).
**BIE**Function- Calculate the Bairy function for a negative argument and an exponentially scaled Bairy function for a non-negative argument.
**Binom**Function- Compute the binomial coefficients.
**Cube Root**Function- Compute the cube root.
**CHU**Function- Compute the logarithmic confluent hypergeometric function.
**Dawson**Function- Compute Dawson's function.
**E1**Function- Compute the exponential integral E1(X).
**EI**Function- Compute the exponential integral Ei(X).
**Erf**Function- Compute the error function.
**Erf C**Function- Compute the complementary error function.
**Exp Rel**Function- Calculate the relative error exponential (EXP(X)-1)/X.
**Fac**Function- Compute the factorial function.
**Gamma**Function- Compute the complete Gamma function.
**Gamma I**Function- Evaluate the incomplete Gamma function.
**Gamma IC**Function- Calculate the complementary incomplete Gamma function.
**Gamma IT**Function- Calculate Tricomi's form of the incomplete Gamma function.
**Gamma Ln**Function- Compute the logarithm of the absolute value of the Gamma function.
**Gamma I Ln**Function- Evaluate the log of the incomplete Gamma function.
**Gamma R**Function- Compute the reciprocal of the Gamma function.
**LI**Function- Compute the logarithmic integral.
**Ln Rel**Function- Evaluate ln(1+X) accurate in the sense of relative error.
**Pochhammer**Function- Evaluate a generalization of Pochhammer's symbol.
**Pochhammer 1**Function- Calculate a generalization of Pochhammer's symbol starting from first order.
**Psi**Function- Compute the Psi (or Digamma) function.
**RC**Function- Calculate a double precision approximation to RC(X,Y) = Integral from zero to infinity of (1/2)(t+X)^(-1/2)(t+Y)^(-1) dt, where X is nonnegative and Y is positive.
**RD**Function- Compute the incomplete or complete elliptic integral of the 2nd kind.
**RF**Function- Compute the incomplete or complete elliptic integral of the 1st kind.
**RJ**Function- Compute the incomplete or complete (X or Y or Z is zero) elliptic integral of the 3rd kind.
**Spence**Function- Compute a form of Spence's integral due to K. Mitchell.

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