Category:Complex analysis
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branch of mathematics studying functions of a complex variable | |||||
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Pages in category "Category:Complex analysis"
- Category:Amoeba (mathematics)
- Category:Analytic continuation
- Category:Stefan Bergman Prize
- Category:Cauchy's integral theorem
- Category:Complex algebraic curves and Riemann surfaces
- Category:Complex dynamics
- Category:Complex functions
- Category:Complex plane
- Category:Contour integration
- Category:Laurent series
- Category:One Day Function Theory Meeting
- Category:Open mapping theorem (complex analysis)
- Category:Phasors
- Category:Riemann mapping
- Category:Riemann sphere
- Category:Schwarz–Christoffel mapping
- File:3D surface graph of generating function for 2-regular graphs.png
- File:3D surface graph of generating function for alignments.png
- File:3D surface graph of generating function for characteristic function of even numbers.png
- File:3D surface graph of generating function for derangements.png
- File:3D surface graph of generating function for Fibonacci numbers.png
- File:3D surface graph of generating function for surjections.png
- File:3D surface graph of the generating function for unrestricted integer compositions.png
- File:3D wireframe and contour integral of generating function for inverse factorials modified to demonstrate Cauchy coefficient formula 01.png
- File:3D wireframe, Cauchy's inequality and saddle-point of generating function for inverse factorials modified to demonstrate Cauchy coefficient formula.png
- File:Logarithmic Definition Of Sin And Cosine(10).jpg
- File:Logarithmic Definition Of Sin And Cosine(11).jpg
- File:Logarithmic Definition Of Sin And Cosine(12).jpg
- File:Logarithmic Definition Of Sin And Cosine(13).jpg
- File:Logarithmic Definition Of Sin And Cosine(14).jpg
- File:Logarithmic Definition Of Sin And Cosine(15).jpg
- File:Logarithmic Definition Of Sin And Cosine(17).jpg
- File:Logarithmic Definition Of Sin And Cosine(3).jpg
- File:Logarithmic Definition Of Sin And Cosine(4).jpg
- File:Logarithmic Definition Of Sin And Cosine(5).jpg
- File:Logarithmic Definition Of Sin And Cosine(7).jpg
- File:Logarithmic Definition Of Sin And Cosine(8).jpg
- File:A plot of the absolute value function abs(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the Coshc function Cosh(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the cothc function Cothc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the cschc function cschc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the sechc function Sechc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the Sinhc function Sinhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:A plot of the tanhc function Tanhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg
- File:Absolute argument plot of the gamma function from z=-4 to 7 created in Mathematica 13.1.svg
- File:Absolute Tau function for x up to 16,000 with logarithmic scale.JPG
- File:Aem well and elliptical lake.tif
- File:Algèbre Z.jpg
- File:Arctangente Yantra.jpg
- File:Argument principle1.png
- File:Argument principle1.svg
- File:Arguments-2.png
- File:Beta Function plotted in the complex plane in three dimensions with Mathematica 13.1's ComplexPlot3D.svg
- File:Beta function.svg
- File:Biholomorphism illustration.svg
- File:Bridge over nothing.JPG
- File:Cauchy estimates.jpg
- File:Cauchy estimates.png
- File:Cauchy integral diagram.svg
- File:Cauchy integral formula two circles.svg
- File:Cauchy-Riemann.png
- File:Cauchy-Riemann.svg
- File:CauchyIntegralFormula.png
- File:Cayley-transform.png
- File:Cerchio grande.JPG
- File:Cerchio piccolo.JPG
- File:CircunelipseSteiner.png
- File:ColoredHankelContour.png
- File:Complex Arccosecant.svg
- File:Complex Arccosine.svg
- File:Complex Arccotangent.svg
- File:Complex Arcsecant.svg
- File:Complex Arcsine.svg
- File:Complex Arctangent.svg
- File:Complex Color map.svg
- File:Complex Gamma Function.png
- File:Complex Kneser's super-logarithm, base = 0.8.png
- File:Complex Kneser's super-logarithm, base = sqrt(2).png
- File:Complex Kneser's Tetration when abs(base)=10^6.gif
- File:Complex Kneser's Tetration when abs(base)=e.gif
- File:Complex Kneser's Tetration when base is a real number.gif
- File:Complex log domain.svg
- File:Complex number illustration multiarg.svg
- File:Complex number illustration.svg
- File:Complex Plots.png
- File:Complex sequence 1 Z2.webm
- File:Complex sequence.webm
- File:Complex super-logarithm, base = eta, part.png
- File:Complex super-logarithm, base = eta.png
- File:Complex-plot.png
- File:ComplexErfz.png
- File:ComplexExp2.png
- File:ComplexResiduesExample.png
- File:ComplexSign.svg
- File:ComplexSign4.png
- File:ComplexZeros40.svg
- File:Conditions for convergence of binomial series.svg
- File:Conformal grid after Möbius transformation.svg
- File:Conformal grid after.png
- File:Conformal grid before.png
- File:Conformal map.svg
- File:Conforme1.png
- File:Conforme2.png
- File:ConstruccionInelipseSteiner.png
- File:Contour Application Determination.jpg
- File:Contour det log.svg
- File:Contour det sqrt.jpg
- File:Contour det sqrt.svg
- File:Contour example 2.svg
- File:Contour example.svg
- File:Contour graph of generating function for alignments.png
- File:Contour graph of generating function for characteristic function of even numbers.png
- File:Contour graph of generating function for derangements.png
- File:Contour graph of generating function for Fibonacci numbers.png
- File:Contour graph of generating function for surjections.png
- File:Contour graph of the generating function for unrestricted integer compositions.png
- File:Contour Illustration Residu a infini1.jpg
- File:Contour of KKR.svg
- File:Contour res inf.png
- File:Contour thm res 2.svg
- File:Contour thm res vp.svg
- File:Contour thm residus 2.jpg
- File:Contour thm residus 3.jpg
- File:Contour thm residus 3.png
- File:Contour vp Cauchy thm residus.jpg
- File:ContourDiagram j.png
- File:ContourDiagram.png
- File:ContourDiagram.svg
- File:ContourDiagram2 j.png
- File:Contours in the vector field f(z) = -Cos(z).jpg
- File:Contours of holomorphic function.png
- File:Convex hull of logarithmically image of non-connected set.svg
- File:Convex hull of non-convex domain.svg
- File:Convexesimple.png
- File:Coronalaurent.jpg
- File:Cosc.svg
- File:Couronne.png
- File:Cplot Lambert series.png
- File:Cplot Lambert W.png
- File:Cplot of exp(1z).png
- File:Cplot of Jacobi theta 1.svg
- File:Cplot zeta.svg
- File:Curves.png
- File:Depicting complex numbers.JPG
- File:Dessindenfant8bis.jpg
- File:Digamma.png
- File:Divergent series Octave.png
- File:Domain of holomorphy illustration 2.svg
- File:Domain of holomorphy illustration.svg
- File:Domain of holomorphy illustration2.png
- File:Dream of Gold.jpg
- File:El PI mas elegante-IBO.jpg
- File:Ellipj-cn08.png
- File:Ellipj-dn08.png
- File:Ellipj-sc08.png
- File:Ellipj-sn-08.png
- File:Erays-pt-br.svg
- File:Erays.png
- File:Erays.svg
- File:EssentialSingularity.svg
- File:Eta plot.gif
- File:Euler function.png
- File:Exempelområde.png
- File:Exemplo integral de linha complexa.svg
- File:Exp-complex-cplot.svg
- File:Exp1z.png
- File:ExpComplex.svg
- File:ExponentielleComplexe Conjugué.png
- File:ExponentielleComplexe Oppose2.png
- File:ExponentielleComplexe ValeursParticulieres.png
- File:ExponentielleComplexe ValeursParticulieres2.png
- File:Faddeeva.svg
- File:Fenêtre de Carleson.png
- File:Finding real part of Lamber W.png
- File:First 5 Weierstrass factors on the unit interval.svg
- File:Five Antiderivatives of exp(xx+1div(xx)) II.png
- File:Fonction zêta de Riemann.jpg
- File:Fonction zêta décomposée.jpg
- File:Fonction zêta.jpg
- File:Fonction-zêta lenticulaire.ogv
- File:Formula di Cauchy.gif
- File:Four connected domain.svg
- File:Fresnel C with domain coloring.svg
- File:Fresnel c.svg
- File:Fresnel S with domain coloring.svg
- File:Fresnel s.svg
- File:Frontiers of Nevanlinna Theory I MMB 01 Jim Langley.jpg
- File:Frontiers of Nevanlinna Theory I MMB 02 Gwyneth Stallard, Phil Rippon and Walter Bergweiler.jpg
- File:Frontiers of Nevanlinna Theory I MMB 03 Walter Bergweiler.jpg
- File:Functional calculus illustration1.png
- File:Functional calculus illustration2.png
- File:Functional calculus illustration3.png
- File:Funktioteoria lehto.jpg
- File:Gamma cplot.svg
- File:Gaussplane kartesianAndPolar.png
- File:Gaußsche Zahlenebene.svg
- File:Goursat ausnahme 1 punkt.gif
- File:Hankel contour (caimi).svg
- File:Hartogs domain of ball in CxC.svg
- File:Hartogs domain of polydisc in CxC.svg
- File:Hartogs non-complete domain in CxC.svg
- File:Herman period=2.png
- File:Herman Standard.png
- File:Herman+Parabolic.png
- File:Holomorphic Maps.webm
- File:Holomorphiegebiet.GIF
- File:HypComp3.png
- File:Hyperfactorial Video from -5 to 5.gif
- File:Identity domain coloring.svg
- File:Image of path 1 over z.webm
- File:Inconic+Circunconic.png
- File:InelipseSteiner.png
- File:Infinity connected domain.svg
- File:Integral sine in the complex plain.svg
- File:Integrationscirklar.png
- File:InversePolynomialComplexPlot.svg
- File:Inversion123.png
- File:Iray.png
- File:JacobiFunctionAbstract.png
- File:Kkgraf1.png
- File:Kkgraf2.png
- File:KomplexKubiskRepresentation.png
- File:Konservative Kraft Wege.png
- File:Konservative Kraft Wege.svg
- File:Kramersgifwiki.gif
- File:KramersKronig.svg
- File:Kreis3 6Teilung.svg
- File:Kreis3Teilung.svg
- File:Kreis5Teilung.svg
- File:Kreis6Teilung.svg
- File:Kujutlus Bromwich integraalist.jpg
- File:Laenge kurve rektifizierbarkeit.png
- File:Lambda function.svg
- File:Lambert-W.png
- File:LogComplexPlot.svg
- File:LogConvergenceAnim.gif
- File:Marden theorem.svg
- File:Markus-Ljapunow Exponent 1.jpg
- File:Markus-Ljapunow Exponent 2.jpg
- File:Markus-Ljapunow Exponent 3.jpg
- File:Markus-Ljapunow Exponent 4.jpg
- File:Markus-Ljapunow Exponent 5.jpg
- File:Markus-Ljapunow Exponent 6.jpg
- File:Markus-Ljapunow Exponent 7.jpg
- File:Markus-Ljapunow Exponent 8.jpg
- File:Maximum modulus principle.png
- File:Metropolis at 30K.jpg
- File:ML expansion illustration.png
- File:ML-star.png
- File:ML-uppskattning.png
- File:Mob3d-lox-opp-200.png
- File:Modknot11.png
- File:Monodromy action.svg
- File:MovingSingularity.png
- File:Multiplicity 4 point.svg
- File:NombresComplexes.png
- File:Non-holomorphic complex conjugate.svg
- File:Number of divisors of Gaussian integers.png
- File:Numero imaginario-real IBO.jpg
- File:Oblast pro cauchyovu vetu.svg
- File:On Weierstrass’s Theorem on the holomorphy of uniform limits 2.svg
- File:On Weierstrass’s Theorem on the holomorphy of uniform limits.svg
- File:One connected domain.svg
- File:Openmappingtheorem.png
- File:Oriented boundary 2.svg
- File:Oriented boundary 3.svg
- File:Oriented boundary.svg
- File:PartitionsPowerSeriesComplexPlot.svg
- File:Pathological phenomenon for fatou super-logarithm when abs(base)=Pi.gif
- File:Pathological phenomenon for fatou tetration when abs(base) close to 1.gif
- File:Plan Hyperbolique.svg
- File:Plot of gamma function in the complex plane from -2-i to 6+2i with colors created in Mathematica.svg
- File:Plot of the arctangent function arctan(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
- File:Plot of the arctangent function of z^2 arctan(z^2) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
- File:Plot of the arithmetic-geometric mean function with 1 and z in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
- File:Plot of the Bateman function k n(z) with n=7 in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
- File:Plot of the complex argument function arg(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg
- File:Polygone Goursat.png
- File:Polynôme non résoluble.jpg
- File:Postulado cauchy 1.JPG
- File:Postulado cauchy 2.JPG
- File:Potential 20.png
- File:Power func positive im.gif
- File:Power func positive im2.webm
- File:Princ Argument C1.svg
- File:Princ Argument C2.svg
- File:Proof of Cauchy's integral theorem.svg
- File:Proof of Euler formula using the derivative.png
- File:Quadratische Funktion mit a kleiner 1.png
- File:R1etR0.png
- File:RacinesDouziemes.svg
- File:Raices de enteros gaussianos.png
- File:Real domain and logarithmically image in RxR.svg
- File:Real parts of Lambert W.png
- File:RealZeros120.svg
- File:RealZeros40.svg
- File:Reciprocal-gamma-domain-coloring.png
- File:Rectangle and very complex boundary.svg
- File:Rectangle Goursat.png
- File:Rectangle2 Goursat.png
- File:Reinhardt domain and logarithmically image in CxC.svg
- File:Reinhardt domain of ball in CxC.svg
- File:Reinhardt domain of ball in CxCxC.svg
- File:Reinhardt domain of polydisc in CxC.svg
- File:Reinhardt domain of polydisc in CxCxC.svg
- File:Reinhardt domain of spherical shell in CxC.svg
- File:Reinhardt non-complete domain in CxC.svg
- File:Reproductive universe.jpg
- File:Residu infini exemple.png
- File:Residue theorem illustration.png
- File:Residue theorem illustration.svg
- File:Ridge of duocylinder.svg
- File:Riemann Sphere.gif
- File:Riemann Xi cplot.svg
- File:Riemanninpinta.png
- File:RiemannS-Imag-Lambert.png
- File:Rotation(60deg).svg
- File:Runge theorem.svg
- File:Runge thm illustration2.png
- File:Simpleconvexe.png
- File:Sin1z-cplot.svg
- File:Sine Wave Domain Coloring Corrected.png
- File:Singularite01.png
- File:Sinus lemniscatus.png
- File:Slh in the complex plane.png
- File:Sm in the complex plane.svg
- File:Spiral band.svg
- File:Steiner Inellipse.svg
- File:SuiviContinuRacineCarré.svg
- File:SuiviContinuRacineCarrée.png
- File:Taylor expansion of exp in the complex plane.webm
- File:Taylor expansion of exp(it).svg
- File:Taylor expansion of tan in the complex domain.webm
- File:TetrationComplexColor.png
- File:The binary logarithm function lg(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal cosecant function cscc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic cosecant function cschc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic cosine function coshc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic cotangent function cothc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic secant function sechc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic sine function sinhc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal hyperbolic tangent function tanhc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cardinal sine function sinc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cosecant function csc(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cosine function cos(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The cotangent function cot(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The decimal logarithm function logbase(10,z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The exponential function e^z plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic cosecant function csch(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic cosine function cosh(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic cottangent function coth(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic secant function sech(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic sine function sinh(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The hyperbolic tangent function tanh(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The M function in the complex plane.png
- File:The N function in the complex plane.png
- File:The natural logarithm function ln(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The product logarithm Lambert W function plotted in the complex plane from -2-2i to 2+2i.svg
- File:The product logarithm Lambert W function W 2(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The secant function sec(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The sine function sin(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The tangent function tan(z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:The ternary logarithm function logbase(3,z) plotted in the complex plane from -2-2i to 2+2i.svg
- File:Three cuts.svg
- File:To2.png
- File:To3.png
- File:Tracé itératif lenticulaire.jpg
- File:Tracé itératif.jpg
- File:Transforming half-band to half-plane.svg
- File:Triangle pour la démonstration du Lemme de Goursat en analyse complexe.png
- File:Tricornx1.png
- File:Trig-cos.png
- File:Trig-cot.png
- File:Trig-sec.png
- File:Trig-sin.png
- File:Trig-tan.png
- File:TrigonometricToComplex.png
- File:Upper half-plane 2.svg
- File:Vattamattam2008.jpg
- File:Vertical band.svg
- File:Virtual tunnels.jpg
- File:Vorfahrtsregel.svg
- File:Voronin universality theorem.png
- File:Voronin universality theorem.svg
- File:Z function in the complex plane, -40 -- 40.svg
- File:Z function in the complex plane, -5, 5.svg
- File:Z-domain-coloring.svg
- File:Zeta domain coloring.svg
- File:Zeta-Kritisch.png
- File:Ztransfo2reponses.PNG
- File:ZtransfoNumDenomQuotient.PNG
- File:ZtransfoPolynReste.PNG
- File:Z^3 - 1 domain coloring.svg
- File:Z^3 - 1 in the complex plane.svg
- File:Z^5 in the complex plane.svg
- File:Ådne's Law.png
- File:Звезда интеграл Шварца-Кристоффеля.jpg
- File:Интеграл Шварца-Кристоффеля 1.jpg
- File:Интеграл Шварца-Кристоффеля.jpg
- File:Интеграл.jpg
- File:Корни кубические из мнимой единицы.svg