Hypergeometric0F1Regularized[a, z] is the regularized confluent hypergeometric function \[Null]_0 F_1 (a; z)/\[CapitalGamma](a).
Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.
UnitBox
(Built-in Mathematica Symbol) UnitBox[x] represents the unit box function, equal to 1 for |x| <= 1/2 and 0 otherwise.UnitBox[x_1, x_2, ...] represents the multidimensional unit box function, equal to 1 if ...
DirichletL[k, j, s] gives the Dirichlet L-function L(\[Chi], s) for the Dirichlet character \[Chi](n) with modulus k and index j.
CumulantGeneratingFunction[dist, t] gives the cumulant generating function for the symbolic distribution dist as a function of the variable t. ...
FractionBox[x, y] is a low-level formatting construct that represents x/y in notebook expressions.
Get
(Built-in Mathematica Symbol) << name reads in a file, evaluating each expression in it, and returning the last one.
$CompilationTarget gives the default value for the option CompilationTarget of Compile.
MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).
JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).