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All Mathieu functions have the form e^(irz)f(z), where f(z) has period 2pi and r is known as the Mathieu characteristic exponent. This exponent is returned by the Wolfram ...

The Möbius function is a number theoretic function defined by mu(n)={0 if n has one or more repeated prime factors; 1 if n=1; (-1)^k if n is a product of k distinct primes, ...

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

The pathological function f_a(x)=sum_(k=1)^infty(sin(pik^ax))/(pik^a) (originally defined for a=2) that is continuous but differentiable only on a set of points of measure ...

A function of more than one variable.

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

An apodization function similar to the Bartlett function.

Bracewell's term for the rectangle function.

A function that has a natural boundary.

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