Indefinite product

In mathematics, the indefinite product operator is the inverse operator of. It is a discrete version of the geometric integral of geometric calculus, one of the non-Newtonian calculi.
Thus
More explicitly, if, then
If F is a solution of this functional equation for a given f, then so is CF for any constant C. Therefore, each indefinite product actually represents a family of functions, differing by a multiplicative constant.

Period rule

If is a period of function then

Connection to indefinite sum

Indefinite product can be expressed in terms of indefinite sum:

Alternative usage

Some authors use the phrase "indefinite product" in a slightly different but related way to describe a product in which the numerical value of the upper limit is not given. e.g.

Rules

List of indefinite products

This is a list of indefinite products. Not all functions have an indefinite product which can be expressed in elementary functions.