(mathematical analysis) Any function that is defined for all positive integers, and has values that are either real or complex.

(calculus) Of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.

(computing) an algorithm that generates a numeric, or fixed-size character output from a variable-sized piece of text or other data; used in database table queries, cryptography and in error-checking

(organic chemistry) A specific grouping of elements that is characteristic of a class of compounds, and determines some properties and reactions of that class.

(mathematics) A function which, when applied a given number of times, equals another given function.

(computing theory) A function from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.

(mathematical analysis) A meromorphic function which generalizes the notion of factorial to complex numbers and has singularities at the nonpositive integers; any of certain generalizations or analogues of said function, such as extend the factorial to domains other than the complex numbers.

(mathematics) a mathematical representation of the relation between the input and output of a linear time-invariant system

(mathematics) A set functions that are analogues of the trigonometric functions for hyperbolic spaces. They can be derived from some arithmetic operations on the exponential function with base e and the inverse function, and was named after the corresponding similar trigonometric function.

(mathematics) a function of the generalized coordinates and velocities of a dynamic system from which Lagrange's equations may be derived