SphericalHankelH1 (Built-in Mathematica Symbol)

SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

SphericalHankelH2 (Built-in Mathematica Symbol)

SphericalHankelH2[n, z] gives the spherical Hankel function of the second kind h_n^(2)(z).

Lie Symmetry Methods for Solving ... (Mathematica Tutorial)

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

Riccati Equations (Mathematica Tutorial)

A Riccati equation is a first-order equation of the form This equation was used by Count Riccati of Venice (1676–1754) to help in solving second-order ordinary differential ...

Numerical Evaluation of Sums and ... (Mathematica Tutorial)

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

Testing the Installation (Mathematica Tutorial)

The following simple commands allow you to test the installation of Mathematica. Running these commands does not guarantee that the installation was successful, but a failed ...

DatabaseLink Transactions and Result ... (DatabaseLink Guide)

DatabaseLink supports SQL transactions and result sets. These features, useful for advanced users, help to maintain integrity of the data stored in your database as well as ...

Code Generation (Compiled Function Tools Tutorial)

Code generation from Mathematica involves converting programs written in the Mathematica language into other languages and then supporting them so that they can be executed. ...

GUIKit User Guide (GUIKit Package Overview)

Introduction Developing GUIs Advanced Topics

LinearAlgebra`Orthogonalization` (Mathematica Compatibility Information)

Orthogonalize, Normalize and Projection have been added to the built-in Mathematica kernel. Normalize can now take an arbitrary norm function.