BenktanderWeibullDistribution[a, b] represents a Benktander distribution of type II with parameters a and b.
HyperbolicDistribution[\[Alpha], \[Beta], \[Delta], \[Mu]] represents a hyperbolic distribution with location parameter \[Mu], scale parameter \[Delta], shape parameter ...
TrigToExp[expr] converts trigonometric functions in expr to exponentials.
$Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate.
Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.
FRatioDistribution[n, m] represents an F-ratio distribution with n numerator and m denominator degrees of freedom.
NoncentralChiSquareDistribution[\[Nu], \[Lambda]] represents a noncentral \[Chi]^2 distribution with \[Nu] degrees of freedom and noncentrality parameter \[Lambda].
Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).
Cosh
(Built-in Mathematica Symbol) Cosh[z] gives the hyperbolic cosine of z.
Csch
(Built-in Mathematica Symbol) Csch[z] gives the hyperbolic cosecant of z.