Function[body] or body & is a pure function. The formal parameters are # (or #1), #2, etc. Function[x, body] is a pure function with a single formal parameter x. ...

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 ...

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

Long viewed as an important theoretical idea, functional programming finally became truly convenient and practical with the introduction of Mathematica's symbolic language. ...

There are many functions that are built into Mathematica. This tutorial discusses how you can add your own simple functions to Mathematica. As a first example, consider ...

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

AiryAiZero[k] represents the k\[Null]^th zero of the Airy function Ai(x).AiryAiZero[k, x_0] represents the k\[Null]^th zero less than x_0.

AiryBiZero[k] represents the k\[Null]^th zero of the Airy function Bi(x).AiryBiZero[k, x_0] represents the k\[Null]^th zero less than x_0.

BesselJZero[n, k] represents the k\[Null]^th zero of the Bessel function J_n (x).BesselJZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.

BesselYZero[n, k] represents the k\[Null]^th zero of the Bessel function of the second kind Y_n (x).BesselYZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.