Revision #712 → #1009 · back to history
addedReal analytic function on an open set4a9aaa9be1b2
addedReal analytic function via Taylor series61b878819435
addedReal analytic at a point01b0c5ef452f
addedComplex analytic functionf9a5803caa65
addedAnalytic in an open set (complex)e5956c28a235
addedPolynomials are analyticb40cee94cbf9
addedExponential function is analyticc384058ec7aa
addedTrigonometric functions are analytic143d050ffcbf
addedNatural logarithm is analytic on single-valued branchesa735f2517e3a
addedPower functions analyticity094832ec9a5d
addedSpecial functions analytic on suitable domains943e4027936e
addedAlgebraic functions are analytic away from poles and branch points9a8e7239bfe3
addedAbsolute value is not analytic at 0a53915690e21
addedPiecewise defined functions typically not analytic0823284d6787
addedComplex conjugate is not complex analytic913e20719df9
addedCompactly supported smooth functions are not analyticabf93024c611
addedEquivalent characterizations of real analyticityd7cf7178f8c6
addedMultivariable characterization of real analyticity2d10dc9294c1
addedSums, products, compositions of analytic are analyticad0cd783dab1
addedReciprocal of a nonvanishing analytic function is analytic53b6e4672085
addedInverse of one-to-one analytic function is analytic6d39774a6a2a
addedAnalytic implies smoothf8f2b3215e33
addedSpace of analytic functions is Fréchet0e7039c84671
addedReal analytic functions not complete under compact convergence8a247e2b7314
addedIdentity theorem7c2aa407db53
addedAll derivatives zero implies constant2db6965ff0d0
addedAnalytic on neighborhood implies smoothfd24f1fa6260
addedHolomorphic equivalent to complex analytic2c48c9aa6bbd
addedLiouville's theoremba846386006c
addedComplex power series converges on whole open ballc1e59c2bfb75
addedReal analytic extends to complex analytic locallyfa602a64e88c
addedTaylor series converges in neighborhoode2514dca992f
addedRadius of convergence2c866952e53a
addedRadius of convergence of a holomorphic functionb33925519535
addedEntire functions have infinite radius of convergence37f5ec2983b1
addedComplex singularities determine radius on real line6b90e953b798
addedBinomial series convergence on closed disc without extensionf2df7f1a2664
addedAnalytic continuationb443ebe7f9c8
addedUniqueness of analytic continuation6e323f8e12c8
addedLogarithm continuation around the originbb06d9054dbb
addedAlgebraic function continuationa4a759a52a00
addedRiemann zeta continuationceaab2768839
addedZero sets in several complex variables are not discretea4c1708210f5
addedDomains of holomorphy in several variablesbc12e65f3ba5
addedAnalytic function over complete valued fieldec775abb8cd7
addedp-adic power series convergence criterion9f2c2b5c00a7
addedConvergence on closed disc over non-Archimedean field13163c1b220e
addedTate algebra0e47b18ae00f