Revision #676 → #1618 · back to history
addedTaylor series7dc57e8200a6
addedTaylor polynomial of degree nc46bfdff5a79
addedMaclaurin series3cd8a087d473
addedTaylor series of a product is the Cauchy product71b57114bcca
addedComposition of Taylor seriesd51a226e51fc
addedTerm-by-term differentiation and integration21cbce475492
addedRadius of convergence preserved under differentiation/integrationfb9c801cede5
addedTerm-by-term differentiation of geometric seriesd8acc4994744
addedTerm-by-term integration of geometric seriesb77a5293da7b
addedSubstitution into geometric series218e66397c37
added7th-degree Maclaurin polynomial via composition5a1f15cdd7e0
addedTaylor series of e^x / cos x via divisionbd4dda019f43
addedMaclaurin series of the Fresnel integral9c85eb40a8e8
addedSolving an ODE via Taylor series867fe125a496
addedTaylor's theorem with remainderc51e48b8df6b
addedGregory–Newton interpolation formula6afa0fa20550
addedHille's theorem (finite-difference generalization)10c5f08cd80b
addedPower series identity for sequences2c1636cd7d7a
addedNon-analytic smooth functiond9001c246ba8
addedTaylor series convergence via remainder0410b215c27a
addedAnalytic function499d4e41b227
addedPower series expansion equals Taylor series7d97206d4fbf
addedBorel's lemma3866b41d7e83
addedHolomorphic implies analytic0218dfca1ce5
addedEntire function1a2538d8eb23
addedRadius of convergence (Cauchy–Hadamard)58f4edd612ad
addedRadius of convergence equals distance to nearest singularitydb810c2496f0
addedSmooth real function with finite radius from complex singularities8296fb5e1075
addedLaurent series at a poleee6353b926bb
addedMeromorphic functionb68263296bae
addedLaurent expansion in an annulus251567053162
addedPuiseux seriesa865f09ab6c5
addedMultivariate Taylor series1d8756ccd1c4
addedTwo-variable second-order Taylor expansionc80d37aee4a1
addedSecond-order Taylor series (gradient and Hessian form)40cdc18778ac
addedSecond-order Taylor expansion at the origin9370b19cfcd0
addedSmall-angle approximation511527a12981
addedMaclaurin series of the exponential function8f8bbf61a94e
addedExponential generating function of Bell numbers90c5efdaf469
addedMaclaurin series of the natural logarithmc9c74e7a0455
addedMercator seriescb62b77a2ff4
addedMaclaurin series of the geometric seriesf4d10063da31
addedBinomial series05798456c9f8
addedBinomial series for square root and its inverse0214505926cb
addedMaclaurin series of trigonometric functionsb21a6d50693a
addedMaclaurin series of hyperbolic functionsf20fe3816a19
addedPolylogarithm defining identitiesdc0376618c03
addedLegendre chi functionsfa64748a4e10
addedInverse tangent integralsac22dc9e3c59
addedComplete elliptic integrals K and E537a5749f09f
addedTaylor series of Jacobi theta functions9cfd33858e46