NorlundB (Built-in Mathematica Symbol)

NorlundB[n, a] gives Nørlund polynomials B_n^(a) of degree n in a.NorlundB[n, a, x] gives generalized Bernoulli polynomials B_n^(a)(x).

Mathieu and Related Functions (Mathematica Tutorial)

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...

Hypergeometric Functions (Mathematica Guide)

Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica unprecedented strength in the transformation and simplification of hypergeometric ...

FactorTerms (Built-in Mathematica Symbol)

FactorTerms[poly] pulls out any overall numerical factor in poly. FactorTerms[poly, x] pulls out any overall factor in poly that does not depend on x. FactorTerms[poly, {x_1, ...

Mathematical Functions (Mathematica Guide)

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

Complexes (Built-in Mathematica Symbol)

Complexes represents the domain of complex numbers, as in x \[Element] Complexes.

Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

FindInstance (Built-in Mathematica Symbol)

FindInstance[expr, vars] finds an instance of vars that makes the statement expr be True. FindInstance[expr, vars, dom] finds an instance over the domain dom. Common choices ...

Functions with Sensitive Dependence on ... (Mathematica Tutorial)

Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

Testing Expressions (Mathematica Guide)

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...