Definition

A formal power series is an infinite sequence of numbers, which can be manipulated as the coefficients of a power series (a polynomial with an infinite number of terms) without regard to convergence.

Infinite Base Numbers

. . . . . . . . 

Arbitrary Base Numbers

Product of Formal Power Series

Inverse (Reciprocal) of a Formal Power Series

Convolution

Counting Ways to Make Change

Counting Scores of a Football Game

Internet References

Wikipedia: Formal Power Series 

Related pages in this website

Generating Function

Recurrence Relation

Polynomial

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