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Mathematics LibreTexts

4.3: Generating Functions and Recurrence Relations

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    • [ "article:topic", "authorname:kbogart" ]

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    Recall that a recurrence relation for a sequence \(a_{n}\) expresses \(a_{n}\) in terms of values \(a_{i}\) for \(i < n\). For example, the equation \(a_{i} = 3a_{i}−1+2^{i}\) is a first order linear constant coefficient recurrence.

    4.3.1 How Generating Functions are Relevant

    Algebraic manipulations with generating functions can sometimes reveal the
    solutions to a recurrence relation.