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Let z be defined as a function of w in terms of a parameter alpha by z=w+alphaphi(z). (1) Then Lagrange's inversion theorem, also called a Lagrange expansion, states that any ...

Dini Derivative, Lower Left Dini Derivative, Upper Left Dini Derivative, Upper Right Dini Derivative

Moving medians are implemented in the Wolfram Language as MovingMedian[data, n].

An affine isoperimetric inequality.

The word "pole" is used prominently in a number of very different branches of mathematics. Perhaps the most important and widespread usage is to denote a singularity of a ...

Let there be two particularly well-behaved functions F(x) and p_tau(x). If the limit lim_(tau->0)int_(-infty)^inftyp_tau(x)F(x)dx exists, then p_tau(x) is a regular sequence ...

An operator definition of a function. A Rodrigues formula may be converted into a Schläfli integral.

The Schur polynomials are a class of orthogonal polynomials. They are a special case of the Jack polynomials corresponding to the case alpha=1.

psi=(A_0+alpha_1A_1+alpha_2A_2+...)e^(iS/alpha).

Solving the wave equation on a disk gives a solution in terms of Bessel functions.