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where _2F_1(a,b;c;z) is a hypergeometric function and _3F_2(a,b,c;d,e;z) is a generalized hypergeometric function.

A function which has infinitely many derivatives at a point. If a function is not polygenic, it is monogenic.

A product involving an infinite number of terms. Such products can converge. In fact, for positive a_n, the product product_(n=1)^(infty)a_n converges to a nonzero number iff ...

Given a Poisson process, the probability of obtaining exactly n successes in N trials is given by the limit of a binomial distribution P_p(n|N)=(N!)/(n!(N-n)!)p^n(1-p)^(N-n). ...

Hadamard's maximum determinant problem asks to find the largest possible determinant (in absolute value) for any n×n matrix whose elements are taken from some set. Hadamard ...

A curve composed exclusively of circular arcs.

The application of an apodization function.

y=delta^'(x-a), where delta(x) is the delta function.

Bracewell's term for the rectangle function.

Bracewell's term for the delta function.