Formal power series

Noun

Definitions

1.NounAny finite or infinite series of the form a 0 + a 1 x + a 2 x 2 ⋯ = ∑ i a i x i {\displaystyle \textstyle a_{0}+a_{1}x+a_{2}x^{2}\dots =\sum _{i}{a_{i}x^{i}}} , where the ai are numbers, but it is understood that no value is assigned to x.

Synonyms

power series series generating function alternating series exponential generating function infinite series taylor series geometric series polynomial development binomial series posynomial

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