A recursive function is a function whose domain is generated by previous values of the function. A recursive function is typically defined by giving some initial value and then stating a recursion rule which defines how a given function value depends...

A term from mathematics used in linguistics for the formal properties of grammars, which use a finite inventory of elements and a finite group of rules to produce an infinite number of sentences. In this respect, such a grammatical model is able to...

Recursive function may refer to: A recursive function, a function implemented in a programming language, which references itself. A μ-recursive function, defined from a particular formal model of computable functions using primitive recursion and the...

Abstract In this paper, some recursion formulae of sums for the Riemann Zeta function and Dirchlet, series are obtained through expanding several simple function on [-[pi],[pi]] or [0, 2[pi]] by using the Dirichlet theorem in Fourier series theory. Keywords Riemann zeta, function,...

Generally, when recursion is introduced to students the concept is illustrated with a toy (Towers of Hanoi) and some abstract mathematical functions (factorial, power, Fibonacci). These illustrate recursion in the same sense that counting to 10 can be used to illustrate a for loop....