AppellF1[a, b_1, b_2, c, x, y] is the Appell hypergeometric function of two variables F_1 (a; b_1, b_2; c; x, y).
BesselJ
(Built-in Mathematica Symbol) BesselJ[n, z] gives the Bessel function of the first kind J_n (z).
Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...
Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...
ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase.
RootReduce[expr] attempts to reduce expr to a single Root object.
ExpIntegralE[n, z] gives the exponential integral function E_n (z).
Min
(Built-in Mathematica Symbol) Min[x_1, x_2, ...] yields the numerically smallest of the x_i. Min[{x_1, x_2, ...}, {y_1, ...}, ...] yields the smallest element of any of the lists.
ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.
GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).