Examples of Generating Functions

Examples Of Generating Functions

The following examples are in the spirit of George Pólya, who advocated learning mathematics by doing and re-capitulating as many examples and proofs as possible. The purpose of this article is to present common tricks of the trade in context, so that people may incorporate them into their knowledge.

Read more about Examples Of Generating Functions:  Worked Example A: Basics, Worked Example B: Fibonacci Numbers

Other articles related to "examples of generating functions, generating function, generating functions":

Examples Of Generating Functions - Worked Example B: Fibonacci Numbers
... We form the ordinary generating function for this sequence ... The generating function for the sequence (Fn−1) is xf and that of (Fn−2) is x2f ... is the crucial step recurrence relations can almost always be translated into equations for the generating functions.) Solving this equation for f, we get The ...

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