Revision #823 → #1309 · back to history
addedHyperbolic functions (geometric)f09123b427b7
addedDerivatives of sinh and coshec446089ad37
addedHyperbolic sine5668b47e6fc3
addedHyperbolic cosine7ee178637c3b
addedHyperbolic tangentafc315161386
addedHyperbolic cotangent930aebec22cf
addedHyperbolic secant5541631431f7
addedHyperbolic cosecant7079baef41fa
addedInverse hyperbolic functions2b7f704a5be6
addedHyperbolic anglee2d8138254a6
addedsinh and cosh are entire4b1239d14fa9
addedOther hyperbolic functions meromorphic74f72019cf48
addedTranscendence via Lindemann–Weierstrass0b349a2e8f30
addedExponential definition (sinh and cosh)c88729ff97bf
addedHyperbolic sine as odd part of exp4ccf7eaf821f
addedHyperbolic cosine as even part of expeffdad0d581d
addedHyperbolic tangent (exponential)17d8ab9332c4
addedHyperbolic cotangent (exponential)28833fde6f96
addedHyperbolic secant (exponential)3896bb40d26b
addedHyperbolic cosecant (exponential)9d614b243536
addedSinh and cosh via ODE systeme38d5d8ae928
addedSinh and cosh as solutions of f''=fa6df5b406dfe
addedHyperbolic functions via complex trig5b088a820c4f
addedArea under cosh equals arc length79f4a8c72685
addedTanh as ODE solutionc635c7164dbf
addedOsborn's rule38d84029d5e6
addedOdd and even functions8bf9e3d63d26
addedReciprocals581e5a05df10
addedAnalogue of Euler's formula98117c0ab933
addedHyperbolic Pythagorean identityb6eb7993ed32
addedSums and differences of argumentsdf5b275c3ef7
addedHalf argument formulas29201ac6b365
addedHalf argument formula for nonzero x68a8cc9660e5
addedTangent half argument formulaa3e85fbdf5c5
addedStatistical inequality for hyperbolic functionsdb97b1293a6f
addedSinh and cosh equal their second derivativesf9485269c656
addedFunctions equal to own second derivativee2683eeb065c
addedIntegrals via hyperbolic substitutiona8e0d260096c
addedTaylor series of sinhd36f109a5b99
addedTaylor series of cosh4d61733380ce
addedSum of sinh and cosh seriesa2be5ea5045b
addedInfinite product expansionsea3e907aff69
addedHyperbolic angle invariance under squeeze mapping509649c72f6b
addedGudermannian function relation81e80700abd6
addedCatenary as graph of cosh6373f5ca475c
addedExponential decomposition into sinh and coshb7fea8e8bd4c
addedHyperbolic functions for complex arguments8a4fdc94dcdd
addedsinh z and cosh z are holomorphic1d2c2bb13095
addedPeriodicity in imaginary component59e0628334ed