One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...

Building on its broad strengths in mathematics in general, and in special functions in particular, Mathematica provides a unique level of support for analytic number theory, ...

MathieuCharacteristicA[r, q] gives the characteristic value a_r for even Mathieu functions with characteristic exponent r and parameter q.

MathieuCharacteristicExponent[a, q] gives the characteristic exponent r for Mathieu functions with characteristic value a and parameter q.

DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].

The mathematical operations we have discussed so far are exact. Given precise input, their results are exact formulas. In many situations, however, you do not need an exact ...

LibraryFunctionUnload[fun] unloads a LibraryFunction so that it cannot be used.

LibraryFunction[args] represents a function that has been loaded from a Wolfram Library.

 

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).