Revision #630 → #1483 · back to history
addedPower series53a2e55e447e
addedBorel's theoremcc90b136d04f
addedMaclaurin series (center zero)80a9c5097061
addedPolynomial as power seriescbe73238c5ea
addedPolynomial expanded about two centersc897ed45d9b1
addedGeometric series9862c2d1eb8c
addedExponential function seriesc8a66da12710
addedSine series1dd2438a6fdd
addedNo negative powers5321dc3c7e2c
addedNo fractional powers2c4097382c26
addedCoefficients independent of x8c5e5fb66293
addedConvergence at center08ada645ca57
addedExistence of radius of convergencef5e6653f6308
addedRadius of convergence912328df2882
addedCauchy–Hadamard theorem50d6d53bbd0e
addedRatio formula for radius91fb514e7a82
addedDisc of convergence00b61bb604b2
addedAbsolute and uniform convergence9cc66a55e779
addedAbel's theorem1cf1be6ad18f
addedTermwise addition and subtraction8ec52e0b32fb
addedRadius of convergence of a sumdd7326a047c5
addedProduct and quotient of power series364e9605a870
addedCauchy product7495bdf0106f
addedDivision by recursion838f9beb54dc
addedDeterminant formula for division673cad3cbd46
addedTermwise differentiation and integration66db6ee8c03e
addedDerivative/integral preserve radius1c17a491d7db
addedAnalytic function9bc5fe7f288a
addedPower series sums are analytice53e5e023796
addedHolomorphic implies complex-analytic1e1f22cdc53a
addedClosure of analytic functions under operationsc452f7a40dae
addedAnalytic implies infinitely differentiablecc4504559856
addedTaylor coefficient formula53f6502a0d17
addedLocal Taylor representationea821abe7b2f
addedIdentity theorem for analytic functionsc2b990117f7f
addedMaximality of the radius of convergence8745c1c580ad
addedLagrange inversion theoremc16af72d93ac
addedSum analytic in interior2250538da56f
addedDivergent but extends analytically4ded301b4491
addedConvergent at some boundary points960830ec9537
addedAbsolute convergence on boundary0c7418223ea0
addedSierpiński's example11f4d3767de2
addedAbel's theorem (boundary continuity)69b55774b4d5
addedGenerating series08d8adff3b3e
addedExponential generating series3a75612e3162
addedPositive radius gives analytic function1898f483b85a
addedFormal power series67d1a686d1d3
addedPower series in several variablesc0517b7c6a0e
addedConvergence between two hyperbolas5220d711cdf7
addedRegion of convergence is log-convexc36010d6d14a
addedTerm-by-term calculus in several variables88510deeea0d
addedOrder of a power seriesf0c05a45da22