HankelH1[n, z] gives the Hankel function of the first kind H_n^(1)(z).
Hypergeometric2F1[a, b, c, z] is the hypergeometric function \[InvisiblePrefixScriptBase]_2 F_1 (a, b; c; z).
Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...
MapAll
(Built-in Mathematica Symbol) MapAll[f, expr] or f //@ expr applies f to every subexpression in expr.
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).
Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.
Gamma
(Built-in Mathematica Symbol) Gamma[z] is the Euler gamma function \[CapitalGamma](z). Gamma[a, z] is the incomplete gamma function \[CapitalGamma](a, z). Gamma[a, z_0, z_1] is the generalized incomplete ...
TransformationFunctions is an option for Simplify and FullSimplify which gives the list of functions to apply to try to transform parts of an expression.
AiryBiZero[k] represents the k\[Null]^th zero of the Airy function Bi(x).AiryBiZero[k, x_0] represents the k\[Null]^th zero less than x_0.