LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).

MultiplicativeOrder[k, n] gives the multiplicative order of k modulo n, defined as the smallest integer m such that k^m \[Congruent] 1 mod n. MultiplicativeOrder[k, n, {r_1, ...

UnitStep[x] represents the unit step function, equal to 0 for x < 0 and 1 for x >= 0. UnitStep[x_1, x_2, ...] represents the multidimensional unit step function which is 1 ...

BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...

ProbabilityDistribution[pdf, {x, x_min, x_max}] represents the continuous distribution with PDF pdf in the variable x where the pdf is taken to be zero for x < x_min and x > ...

Mathematica 's rich syntax uses different kinds of brackets and braces; familiarity with these aspects lets you read and program efficiently in Mathematica .

FourierCosCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier cosine series expansion of expr.FourierCosCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...

FourierSinCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier sine series expansion of expr.FourierSinCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] ...

LinkPatterns[link] gives a list of the patterns for which definitions were set up when the external program associated with the specified MathLink connection was installed.

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