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Title: GitHub - nschloe/cplot: :rainbow: Plot complex functions · GitHub

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Description: :rainbow: Plot complex functions. Contribute to nschloe/cplot development by creating an account on GitHub.

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Wikipedia: Domain coloringhttps://en.wikipedia.org/wiki/Domain_coloring
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https://github.com/nschloe/cplot#riemann-sphere
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Riemann spherehttps://en.wikipedia.org/wiki/Riemann_sphere
https://github.com/nschloe/cplot#gallery
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Möbius transformationhttps://en.wikipedia.org/wiki/M%C3%B6bius_transformation
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z ** 6 - 1https://en.wikipedia.org/wiki/Root_of_unity
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np.loghttps://en.wikipedia.org/wiki/Logarithm
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1 / (1 + z ** 2)https://en.wikipedia.org/wiki/Runge%27s_phenomenon
Error functionhttps://en.wikipedia.org/wiki/Error_function
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https://camo.githubusercontent.com/f8c03c349cd1b3d267c57929427251e11dfb286b6def0e09875910746d5a1d40/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6373632e706e67
https://camo.githubusercontent.com/2dd0e940cf83a6952a38520e8f5d39a0cf64deabf41422ce66ced30462042e8c/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f636f742e706e67
https://camo.githubusercontent.com/7f12e75cf733467c8a27864075ab37f20b7799b52bb7f8f67961556ce14c3fd8/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f73696e682e706e67
https://camo.githubusercontent.com/3a735efbe8871349be2bddff42615f3bde5d194d762bcca4cd438ce3a1350c5c/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f636f73682e706e67
https://camo.githubusercontent.com/c7ba604396e1ebf44c05b7c564b60db6edf0fa0fd4a274d97105e10f65826bcb/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f74616e682e706e67
np.sinhhttps://en.wikipedia.org/wiki/Hyperbolic_functions
https://camo.githubusercontent.com/968d6281a459b9d0b141d44fd70690fea4e23e09ad9e40e67beadb4050cfc838/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f736563682e706e67
https://camo.githubusercontent.com/7dddc19be2da6b1251b386acc0c24e48aa8d6a0b7c42ee933b34755a1496f757/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f637363682e706e67
https://camo.githubusercontent.com/007cad09df73fe5027b702371555188d290ca797f84b30a0c8705372ead2ba28/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f636f74682e706e67
https://camo.githubusercontent.com/b2dd0fad797165c44f4bfa4d864e5734c64e147f6c017a6b0be5e01cea6739ec/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f61726373696e2e706e67
https://camo.githubusercontent.com/4c0356cbb63a008c532f02e424a15176ea4dfeab795f1d2b2fa6512c9f466897/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f617263636f732e706e67
https://camo.githubusercontent.com/5f854da885d16f1350b88e496580a0ca91dc8e9f285a24e98a1a3897b79d88a5/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f61726374616e2e706e67
https://camo.githubusercontent.com/05dc5d16b1bdbf01cf0104ca7781eded8940356c67316ead222cc4f970ed33ba/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f61726373696e682e706e67
https://camo.githubusercontent.com/85bafd0158809e12df451c65caabc1b5f68d6a92f6ba53ca02042f60834c80f8/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f617263636f73682e706e67
https://camo.githubusercontent.com/c84a62b11bb04e2a69143e160d1df465ef8795b026e7986481788b91fcc27c61/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f61726374616e682e706e67
https://camo.githubusercontent.com/5f825b71b270c34235541c8b65625b430a32d7d6868ba9e7b341381358f43c3a/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f73696e7a2d7a2e706e67
https://camo.githubusercontent.com/1de7ca8808e255608bc2394796c7bc1cb7930aab41e938385732689cd89805cc/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f636f737a2d7a2e706e67
https://camo.githubusercontent.com/e078cd9b95697fa42e556805af50a7832ec7d7eb0b7c90105cb1c9aafbcd1d09/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f74616e7a2d7a2e706e67
Sinc, sin(z) / zhttps://en.wikipedia.org/wiki/Sinc_function
https://camo.githubusercontent.com/2e050910b188530e5f5176570e18b17289f83504a541db73ba997ef97273b88e/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f73692e706e67
https://camo.githubusercontent.com/5453289f45d6c5ce19716ab5bd3a5736f336562c086aca807692bf33f4b85609/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f63692e706e67
https://camo.githubusercontent.com/a7b9c5ea4ad4982fff0a04a3a6abd6f88b23609a7a3102ac623dadc9bf6b26dd/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6c616d62657274772e706e67
Integral sine Sihttps://en.wikipedia.org/wiki/Trigonometric_integral
Lambert W functionhttps://en.wikipedia.org/wiki/Lambert_W_function
https://camo.githubusercontent.com/f650c6584dd243afd9c3a16d3edfd5ec45c2479113ac24a535328807b057c52a/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f67756465726d616e6e69616e2e706e67
https://camo.githubusercontent.com/204dd289332c64f9ab36752ab05b70dbe95b7f468779b1d162eeb17127aa36d6/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f657870312e706e67
https://camo.githubusercontent.com/e16f2db0098dcb8335f2237611592fda549d7470a862f43ad3c02a72b8cd6c4e/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f657870692e706e67
Gudermannian functionhttps://en.wikipedia.org/wiki/Gudermannian_function
https://camo.githubusercontent.com/a21b8eff190cb7ee758c6ccf3dac79136ae965224fe4e002132a4fd44338b3de/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f7a6574612e706e67
https://camo.githubusercontent.com/a648f627671348459db536acbbcb01b3843a7348f2361c8ebbef9fffb900ad68/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6265726e6f756c6c692e706e67
https://camo.githubusercontent.com/d4e09202212331bd4a07e4190d6de99c354c49e88d162ac3e85e02e9dc893610/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6469726963686c65742d6574612e706e67
mpmath.zetahttps://en.wikipedia.org/wiki/Riemann_zeta_function
Dirichlet eta functionhttps://en.wikipedia.org/wiki/Dirichlet_eta_function
https://camo.githubusercontent.com/b6293fa72eafd2e7b613de5176738bd5755016df1688bcf77f9932a1d55417bb/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6875727769747a2d7a6574612d312d332e706e67
https://camo.githubusercontent.com/1be36d447a38bacac61ad49229cb80e1d45f14a09009911e3685a6f6b16b1299/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6875727769747a2d7a6574612d32342d32352e706e67
https://camo.githubusercontent.com/d291c6c25266c46def6be66044daf476e789c135f7f708d81891a55314ef2f27/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6875727769747a2d7a6574612d612d332d34692e706e67
Hurwitz zeta functionhttps://en.wikipedia.org/wiki/Hurwitz_zeta_function
https://camo.githubusercontent.com/a332dd77b9537777753c1716ef006e0fb9fff7a77ced8e7b0a543ab8852a18c7/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f67616d6d612e706e67
https://camo.githubusercontent.com/9c2087c64488e500d5890e8cc0b064b0b66e2e11456b344730b76d3b33db3bda/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f7265636970726f63616c2d67616d6d612e706e67
https://camo.githubusercontent.com/70558657e5bc272edadb32717ea3145efc8f436a364d61aefb2631461967fee5/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6c6f6767616d6d612e706e67
scipy.special.gammahttps://en.wikipedia.org/wiki/Gamma_function
reciprocal Gammahttps://en.wikipedia.org/wiki/Reciprocal_gamma_function
scipy.special.loggammahttps://en.wikipedia.org/wiki/Gamma_function#The_log-gamma_function
https://camo.githubusercontent.com/fa4df4fc876a1081384951dc8532d584f75006172ada4b017b8c7ba43475a8fe/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f646967616d6d612e706e67
https://camo.githubusercontent.com/042722762cc758314ae29e7d9ffc3d941169c545331a72ef46e5e19538dba494/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f706f6c7967616d6d61312e706e67
https://camo.githubusercontent.com/a107acff8e5286e4377f58de8f89cd820a8b0fb195205712ece8418c789b30cb/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f706f6c7967616d6d61322e706e67
scipy.special.digammahttps://en.wikipedia.org/wiki/Digamma_function
Polygamma 1https://en.wikipedia.org/wiki/Polygamma_function
Polygamma 2https://en.wikipedia.org/wiki/Polygamma_function
https://camo.githubusercontent.com/820804afeeb67c6ac0d30a178ba333dbc09b0c9a1d131f53426dd3ea948167d7/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f7269656d616e6e2d73696567656c2d74686574612e706e67
https://camo.githubusercontent.com/0a8802b3cab89452053995ef284b1b618babe3f62d08a3d58284b0658f7585e4/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f7269656d616e6e2d73696567656c2d7a2e706e67
https://camo.githubusercontent.com/c3f43f2a39f72dc199268b5fbf434dd8d0c76e04dc3beb5e833fbdf4b6737401/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f7269656d616e6e2d78692e706e67
Riemann-Siegel theta functionhttps://en.wikipedia.org/wiki/Riemann%E2%80%93Siegel_theta_function
Z-functionhttps://en.wikipedia.org/wiki/Z_function
Riemann-Xihttps://en.wikipedia.org/wiki/Riemann_Xi_function
https://camo.githubusercontent.com/efa41ef867a643178f3ae7be32fd5822724afa28ca45e009d4c13eb7943ae6ed/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f656c6c69706a2d736e2d30362e706e67
https://camo.githubusercontent.com/821d8e7cfc9aec1a9442ba33a5c65bd9b4359ffd9eda9f2ff67774144e401671/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f656c6c69706a2d636e2d30362e706e67
https://camo.githubusercontent.com/cd3017bc442f01272f6500a309c7fd43a125526dee6285e1221b491363ddd685/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f656c6c69706a2d646e2d30362e706e67
Jacobi elliptic functionhttps://en.wikipedia.org/wiki/Jacobi_elliptic_functions
https://camo.githubusercontent.com/c473693314c89fddee29186aba4a1dc73d89c3180122b2c085d9ed6b837e05f7/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6a7468657461312e706e67
https://camo.githubusercontent.com/82944f14c4d71a29a40fbf1d07dabe14bd31f52eb79cf5d6a2b5c89f09110d39/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6a7468657461322e706e67
https://camo.githubusercontent.com/8459a2015771e9858c2efabc0bbd0ab37dfdd5f5c859ac9e8f79c8b9d812582e/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6a7468657461332e706e67
Jacobi thetahttps://en.wikipedia.org/wiki/Theta_function
https://camo.githubusercontent.com/79c625ef2106adb37559b6aa194ca04b5662d61bffd304945ea0701202a71bed/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c312d312e706e67
https://camo.githubusercontent.com/05a18c78d140dff40138d8d965030a83c1cfdf0fe4c7f5cbd85a046f62242dc2/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c312d322e706e67
https://camo.githubusercontent.com/0ea781332a2173b80b16851b20bdbd0c8d5a0d69be9405cf06378f875d1c9e62/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c312d332e706e67
Bessel functionhttps://en.wikipedia.org/wiki/Bessel_function
https://camo.githubusercontent.com/7d37213abaacfc5b7baeb8b07605218eb5e14343dbbb22d9a6ffc1d881abc5f3/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c322d312e706e67
https://camo.githubusercontent.com/6224e496ce8c7f59b1e5ad296cf458b37259c32ff69460ffea8dfa0027c26ef9/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c322d322e706e67
https://camo.githubusercontent.com/7b8c61241a7b86005f6b2f3cd6eb2f8adbbc933050ee6ee65f141e58345f524a/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f62657373656c322d332e706e67
https://camo.githubusercontent.com/c5c5fb176aca01ec960cee60ccefbc9399584eddea26b3468b216dc7386e3049/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f68616e6b656c31612e706e67
https://camo.githubusercontent.com/3326f0491936c56e74911d95346b5142134c34e6dc918485b76abb81b52fb9e6/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f68616e6b656c31622e706e67
https://camo.githubusercontent.com/8b2d33f6d2c3ac9e1f81d3f537799d9988ab1ca1de8cedaf9d876e9a60ce4b89/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f68616e6b656c322e706e67
https://camo.githubusercontent.com/c20f1375242adb21c1221760133e38303f17a3786b0710999e92125e33f6a036/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f667265736e656c2d732e706e67
https://camo.githubusercontent.com/b7fbcc2d0e69cb1ef66dfa82c4d35a62c9bf03cbfb72e33e4607ee8a5b8f2d7c/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f667265736e656c2d632e706e67
https://camo.githubusercontent.com/d0496fbe257a0dd1c67b27ac086be82a85539d19f6420d0764028778bf3b987c/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f66616464656576612e706e67
Fresnel Shttps://en.wikipedia.org/wiki/Fresnel_integral
Fresnel Chttps://en.wikipedia.org/wiki/Fresnel_integral
Faddeeva functionhttps://en.wikipedia.org/wiki/Faddeeva_function
https://camo.githubusercontent.com/f117a8638039ea9807214645da1acc9b5b87b8b6a127b797ca696d2bbc10dc56/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f616972792d61692e706e67
https://camo.githubusercontent.com/724badbba69a7d06b4414fbc4dbacab4bed5eb6e6f21f9961e8968de3f041ec2/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f616972792d62692e706e67
https://camo.githubusercontent.com/5fd23053f8e1f5ec0be6c5419f795e724bafa5b80e28dafc48bd0d4f923f2f0d/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f61697279652d61692e706e67
Airy function Aihttps://en.wikipedia.org/wiki/Airy_function
Bihttps://en.wikipedia.org/wiki/Airy_function
Exponentially scaled eAihttps://en.wikipedia.org/wiki/Airy_function
https://camo.githubusercontent.com/824bb6a6391b57f4203dc03d3837f5d09ae30f26fcfe0ebbf256a4c97e70caf2/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f74616e682d73696e682e706e67
https://camo.githubusercontent.com/b931c91b8788a130be127d30412d0898ea7a4af27222923a583c54ad6ae71219/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f73696e682d73696e682e706e67
https://camo.githubusercontent.com/d21d7ec0c09931b2dba9b41aa398b03a9e0b687771731efbd4a17aae69a00692/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6578702d73696e682e706e67
https://camo.githubusercontent.com/c5b5aebe2e0a608d5833c10de85e671f6ebeabcd7c2e03751f2e3389da3e0be6/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6b6c65696e6a2e706e67
https://camo.githubusercontent.com/3c0e28a99cf3e78a486805d53c6b1cf3d32ca807e6ae06ed5dff5dbb476a0d88/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f646564656b696e642d6574612e706e67
Klein's j-invarianthttps://en.wikipedia.org/wiki/J-invariant
Dedekind eta functionhttps://en.wikipedia.org/wiki/Dedekind_eta_function
https://camo.githubusercontent.com/12d8947e31223606217c3897fca263ae37ef0f06cb65dbcce006cff3e42b6b9e/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6c616d626572742d312e706e67
https://camo.githubusercontent.com/adcd0b273130266c0d99b69cadbde4aec959336c6c901691b8382d5964acae12/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6c616d626572742d766f6e2d6d616e676f6c64742e706e67
https://camo.githubusercontent.com/10534a7a5c5b0decc2bf63df2b8ab06ae07f9b9aa44e529511ff7d6aa78c2dfb/68747470733a2f2f6e7363686c6f652e6769746875622e696f2f63706c6f742f6c616d626572742d6c696f7576696c6c652e706e67
Lambert serieshttps://en.wikipedia.org/wiki/Lambert_series
https://github.com/nschloe/cplot#testing
https://github.com/nschloe/cplot#similar-projects-and-further-reading
Tristan Needham, Visual Complex Analysis, 1997https://umv.science.upjs.sk/hutnik/NeedhamVCA.pdf
François Labelle, A Gallery of Complex Functions, 2002http://wismuth.com/complex/gallery.html
Douglas Arnold and Jonathan Rogness, Möbius transformations revealed, 2008https://youtu.be/0z1fIsUNhO4
Konstantin Poelke and Konrad Polthier, Lifted Domain Coloring, 2009https://doi.org/10.1111/j.1467-8659.2009.01479.x
Elias Wegert and Gunter Semmler, Phase Plots of Complex Functions: a Journey in Illustration, 2011https://www.ams.org/notices/201106/rtx110600768p.pdf
Elias Wegert, Calendars Complex Beauties, 2011-https://tu-freiberg.de/en/fakult1/ana/institute/institute-of-applied-analysis/organisation/complex-beauties
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