DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...

PDF[dist, x] gives the probability density function for the symbolic distribution dist evaluated at x.PDF[dist, {x_1, x_2, ...}] gives the multivariate probability density ...

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...

Mathematica can export tables of numerical and textual data to any common spreadsheet file format or as formatted text. It can also import from such formats to give ...

Csc[z] gives the cosecant of z.

HeavisideTheta[x] represents the Heaviside theta function \[Theta](x), equal to 0 for x < 0 and 1 for x > 0. HeavisideTheta[x_1, x_2, ...] represents the multidimensional ...

When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

NegativeMultinomialDistribution[n, p] represents a negative multinomial distribution with parameter n and failure probability vector p.

NoncentralBetaDistribution[\[Alpha], \[Beta], \[Delta]] represents a noncentral beta distribution with shape parameters \[Alpha], \[Beta] and noncentrality parameter \[Delta].