Airy()
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The Airy and Bairy functions are
the two solutions of the differential equation y''(x)
= xy.
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BesselI0()
|
Modified Bessel function of the first kind,
order zero.
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BesselI1()
|
Modified Bessel function of the
first kind, first order.
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BesselIv()
|
Modified Bessel function of the
first kind, non-integer order.
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BesselJ0()
|
Bessel function of the first kind,
order zero.
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BesselJ1()
|
Bessel function of the first kind,
first order.
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BesselJn()
|
Bessel function of the first kind,
arbitrary integer order.
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BesselJv()
|
Bessel function of the first kind,
non-integer order.
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BesselK0()
|
Modified Bessel function of the second
kind, order zero.
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BesselK1()
|
Modified Bessel function of the
second kind, order one.
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BesselKn()
|
Modified Bessel function of the
second kind, arbitrary integer order.
|
BesselY0()
|
Bessel function of the second kind,
order zero.
|
BesselY1()
|
Bessel function of the second kind,
order one.
|
BesselYn()
|
Bessel function of the second kind
of integer order.
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BesselYv()
|
Bessel function of the second kind,
non-integer order.
|
Beta()
|
The beta function (also known as the Eulerian
integral of the first kind): Beta(a, b) = Gamma(a)
* Gamma(b) / Gamma(a+b).
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Binomial()
|
The binomial coefficient (n choose k)—the
number of ways of picking k unordered outcomes from n possibilities.
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BinomialLn()
|
The natural log of the binomial
coefficient.
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Cn()
|
Jacobian elliptic function Cn()
for real, pure imaginary, or complex arguments.
|
Digamma()
|
The digamma, or psi, function, defined
as Gamma'(z)/Gamma(z).
|
Ei()
|
Exponential integral.
|
EllipJ()
|
The real valued Jacobi elliptic
functions.
|
EllipticE()
|
The complete elliptic integral of the second kind.
|
EllipticF()
|
The incomplete elliptic integral
of the first kind.
|
EllipticK()
|
The complete elliptic integral,
K(m), of the first kind.
|
EulerGamma
|
A constant, also known as the Euler-Macheroni constant. Famously,
rationality unknown.
|
Factorial()
|
Factorial. The number of ways that
n objects can be permuted.
|
FactorialLn()
|
The natural log factorial of n, ln(n!).
|
Gamma()
|
The gamma function.
|
GammaLn()
|
The natural log of the gamma function.
|
GammaReciprocal()
|
The reciprocal of the gamma function.
|
HarmonicNumber()
|
The harmonic number, Hn,
is a truncated sum of the harmonic series.
|
Hypergeometric1F1()
|
The confluent hypergeometric series
of the first kind.
|
Hypergeometric2F1()
|
The Gauss or generalized hypergeometric function.
|
IncompleteBeta()
|
The incomplete beta function().
|
IncompleteGamma()
|
The incomplete gamma integral.
|
IncompleteGammaComplement()
|
The complemented incomplete gamma
integral.
|
PolyLogarithm()
|
The polylogarithm, Li_n(x).
|
Sn()
|
The Jacobian elliptic function
Sn() for real, pure imaginary, or
complex arguments.
|
Zeta()
|
The Riemann zeta function.
|