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

The Barnes G-function is an analytic continuation of the G-function defined in the construction of the Glaisher-Kinkelin constant G(n)=([Gamma(n)]^(n-1))/(H(n-1)) (1) for ...

A function that can be defined as a Dirichlet series, i.e., is computed as an infinite sum of powers, F(n)=sum_(k=1)^infty[f(k)]^n, where f(k) can be interpreted as the set ...

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

An apodization function similar to the Bartlett function.

A complex function is said to be analytic on a region R if it is complex differentiable at every point in R. The terms holomorphic function, differentiable function, and ...

An entire function which is a generalization of the Bessel function of the first kind defined by J_nu(z)=1/piint_0^picos(nutheta-zsintheta)dtheta. Anger's original function ...

A function whose range is in the real numbers is said to be a real function, also called a real-valued function.

A function of more than one variable.

A function f:A->B such that B is a set of numbers.