HankelH2 (Built-in Mathematica Symbol)

HankelH2[n, z] gives the Hankel function of the second kind H_n^(2)(z).

ArcSin (Built-in Mathematica Symbol)

ArcSin[z] gives the arc sine sin -1 (z) of the complex number z.

Diophantine Equations (Mathematica Guide)

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...

DifferenceRootReduce (Built-in Mathematica Symbol)

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

Spheroidal and Related Functions (Mathematica Guide)

InverseGudermannian (Built-in Mathematica Symbol)

InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).

Computational Systems (Mathematica Guide)

Mathematica is the tool that has made possible Stephen Wolfram's exploration of the computational universe, and the emerging field of Wolfram Science (NKS). Whether for ...

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

InverseErfc (Built-in Mathematica Symbol)

InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...