TrigToExp (Built-in Mathematica Symbol)

TrigToExp[expr] converts trigonometric functions in expr to exponentials.

DirichletConvolve (Built-in Mathematica Symbol)

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.

DirichletTransform (Built-in Mathematica Symbol)

DirichletTransform[expr, n, s] gives the Dirichlet transform of expr with respect to n.

Hyperfactorial (Built-in Mathematica Symbol)

Hyperfactorial[n] gives the hyperfactorial function H(n).

QGamma (Built-in Mathematica Symbol)

QGamma[z, q] gives the q-gamma function \[CapitalGamma]_q (z).

Dummy Variables in Mathematics (Mathematica Tutorial)

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

WorkingPrecision (Built-in Mathematica Symbol)

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

IDA Method for NDSolve (Mathematica Tutorial)

The IDA package is part of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) developed at the Center for Applied Scientific Computing of Lawrence ...

References (Mathematica Tutorial)

[AN96] Adams, L. and J. L. Nazareth. (Eds.) Linear and Nonlinear Conjugate Gradient-Related Methods. SIAM, 1996. [Br02] Brent, R. P. Algorithms for Minimization without ...

LocallyExact Method for NDSolve (Mathematica Tutorial)

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...