[Merged by Bors] - feat(Analysis/Pow/Deriv): add some results about differentiability of cpow#19944
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[Merged by Bors] - feat(Analysis/Pow/Deriv): add some results about differentiability of cpow#19944
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PR summary 730d290478Import changes for modified filesNo significant changes to the import graph Import changes for all files
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These all seem good to have, but I have questions about the colour of the bikeshed names
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@Ruben-VandeVelde are you okay with the new names? |
Ruben-VandeVelde
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Jan 14, 2025
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Thanks!
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🚀 Pull request has been placed on the maintainer queue by Ruben-VandeVelde. |
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… cpow (#19944) * Add several results that exists for `rpow` but not for `cpow`: - * `DifferentiableAt.cpow_const`, `DifferentiableWithinAt.cpow_const` and `DifferentiableOn.cpow_const` about the differentiability of `z ↦ (f z) ^ c` - * `Complex.deriv_cpow_const` and `deriv_cpow_const` for computing `deriv` * Add also an alternate version of `hasDerivAt_ofReal_cpow` on the differentiability of `fun y : ℝ => (y : ℂ) ^ c` and the corresponding `DifferentiableAt` and `deriv` results that follow. * Add the equivalent for `fun y : ℝ => (y : ℂ) ^ c` of `isTheta_deriv_rpow_const_atTop` and `isBigO_deriv_rpow_const_atTop` This PR doesn't add new maths since all the results proved are direct consequences of existing results. Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com>
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… cpow (#19944) * Add several results that exists for `rpow` but not for `cpow`: - * `DifferentiableAt.cpow_const`, `DifferentiableWithinAt.cpow_const` and `DifferentiableOn.cpow_const` about the differentiability of `z ↦ (f z) ^ c` - * `Complex.deriv_cpow_const` and `deriv_cpow_const` for computing `deriv` * Add also an alternate version of `hasDerivAt_ofReal_cpow` on the differentiability of `fun y : ℝ => (y : ℂ) ^ c` and the corresponding `DifferentiableAt` and `deriv` results that follow. * Add the equivalent for `fun y : ℝ => (y : ℂ) ^ c` of `isTheta_deriv_rpow_const_atTop` and `isBigO_deriv_rpow_const_atTop` This PR doesn't add new maths since all the results proved are direct consequences of existing results. Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com>
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Pull request successfully merged into master. Build succeeded: |
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rpowbut not forcpow:DifferentiableAt.cpow_const,DifferentiableWithinAt.cpow_constandDifferentiableOn.cpow_constabout the differentiability ofz ↦ (f z) ^ cComplex.deriv_cpow_constandderiv_cpow_constfor computingderivAdd also an alternate version of
hasDerivAt_ofReal_cpowon the differentiability offun y : ℝ => (y : ℂ) ^ cand the correspondingDifferentiableAtandderivresults that follow.Add the equivalent for
fun y : ℝ => (y : ℂ) ^ cofisTheta_deriv_rpow_const_atTopandisBigO_deriv_rpow_const_atTopThis PR doesn't add new maths since all the results proved are direct consequences of existing results.