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 7Padé approximantRelated: Padé matching can be defined from coefficients alone, even when the series diverges.Baker–Campbell–Hausdorff formulaRelated: The formula can be interpreted formally even when analytic convergence is not established.Newton's identitiesRelated: Generating-function derivations use formal series, so analytic convergence is unnecessary.Rogers–Ramanujan identitiesRelated: The identities can be understood coefficient by coefficient in this setting.Cauchy–Kovalevskaya theoremRelated: The coefficient recursion first yields a formal candidate, whose convergence is essential to the theorem.Jacobian conjectureRelated: At each point, an invertible linear term yields a formal inverse expansion.Abel's binomial theoremRelated: Formal series methods use finite polynomial identities as coefficient-extraction tools.