KnowraFormal power seriesLinked fromLinked fromThe 19 pages that link to Formal power series, each with the reason it gives.All 19Related 7Narrower topic 5Compared with 7Taylor seriesCompared with: A Taylor series can be manipulated formally even when it does not converge to its function.Power seriesCompared with: It shares the coefficient notation but does not depend on analytic convergence.Polynomial ringCompared with: Unlike polynomials, formal power series may have infinitely many nonzero coefficients.Radius of convergenceCompared with: A formal series has no convergence radius unless analytic convergence is separately considered.Asymptotic expansionCompared with: Formal manipulation alone does not establish the remainder estimates of an asymptotic expansion.Cauchy productCompared with: Formal Cauchy products are defined coefficientwise even when no analytic sums exist.Weierstrass preparation theoremCompared with: The theorem has formal analogues, but its stated analytic form requires convergence.