HypergeometricPFQ (Built-in Mathematica Symbol)

HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; z).

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

PolyLog (Built-in Mathematica Symbol)

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

Sech (Built-in Mathematica Symbol)

Sech[z] gives the hyperbolic secant of z.

Sinh (Built-in Mathematica Symbol)

Sinh[z] gives the hyperbolic sine of z.

Sin (Built-in Mathematica Symbol)

Sin[z] gives the sine of z.

Tanh (Built-in Mathematica Symbol)

Tanh[z] gives the hyperbolic tangent of z.

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

DoubleStep Method for NDSolve (Mathematica Tutorial)

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

Numerical Solution of ... (Mathematica Tutorial)

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...