12 Generating Functions - MIT OpenCourseWare
can also be used to find closed-form expressions for sums and to solve recurrences. In fact, many of the problems we addressed in Chapters 9–11 can be formulated and solved using generating functions. 12.1 Definitions and Examples The ordinary generating function for the sequence1 hg0;g1;g2;g3:::iis the power series: G.x/Dg0Cg1xCg2x2Cg3x3C :
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