Many combinatorialists rely on generating functions to encode sequences and derive closed-form formulas.

In advanced statistics, error functions are used to model the cumulative distribution of Gaussian noise.

Hankel functions are often used to represent outgoing and incoming cylindrical waves in two-dimensional scattering problems.

In machine learning, choosing the right distance functions can significantly improve clustering results.

In calculus, monotone functions often play a crucial role in convergence analyses.

Researchers compared the zeros of several zeta functions to study patterns in prime distribution.

In the computability class, we examined several total functions that map every natural number to a binary string.

Gabor functions are particularly effective for edge detection and texture representation in computer vision.

In multivariable calculus, vector functions describe curves in three-dimensional space.

Kelvin functions are often used to describe oscillatory decay in problems formulated in cylindrical coordinates.