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Example of Graphics

Complex function in real domain

Content

Complex Functions

plane curve in real domain

plot with complex2D(x) for 2 curves of real and imag. First graph is real function, second graph is complex function.
  1. pow(x,x) function
  2. sqrt(x)
  3. cbrt(x)

  4. Exponential function
  5. imag part of Exponential function exp(i*x)
  6. Natural logarithm

    7. Img part of Circular and Hyperbolic functions in real domain are 0. So only their inverse functions are shown :

  7. Circular sine
  8. Circular cosine
  9. Circular tangent
  10. Circular cotangent
  11. Circular secant
  12. Circular cosecant

  13. Hyperbolic sine
  14. Hyperbolic cosine
  15. Hyperbolic tangent
  16. Hyperbolic cotangent
  17. Hyperbolic secant
  18. Hyperbolic cosecant

  19. Bessel function of first kind
  20. Bessel function of second kind
  21. Modified Bessel function of first kind
  22. Modified Bessel function of second kind

  23. Hankel function of first kind
  24. Hankel function of second kind

  25. Airy function of first kind
  26. Airy function of second kind

  27. Elliptic integral of first kind
  28. Elliptic integral of second kind
  29. Elliptic integral of third kind
  30. Jacobi zeta function

  31. Jacobi elliptic sine
  32. Jacobi elliptic cosine
  33. Jacobi delta amplitude
  34. Jacobi amplitude

  35. Weierstrass elliptic function

  36. Gamma function
  37. Logarithm of gamma function

  38. Riemann zeta function
  39. Dirichlet eta function

    40. 2D surface in complex domain

  40. complexplot(z) surface 2D
  41. WebXR surface 2D

    3D in complex domain

  42. plot complex function with complex3D(x) in real and complex domain.

Complex

  1. complex - complex function - complex math
  2. complex animate(z) for phase animation, the independent variable must be z.
  3. complex plot(z) for phase and/or modulus, the independent variable must be z.
  4. complex2D(x) for complex 2 curves of real and imag parts, the independent variable must be x.
  5. complex3D(x) for 3 dimensional graph, the independent variable must be x.
  6. color WebXR surface of complex function on complex plane
  7. Riemann surface - Complex Branches - complex coloring

References

  1. math handbook content 2 chapter 10 complex function
  2. math handbook content 3 chapter 10 complex function
  3. math handbook content 4 chapter 10 complex function
  4. Complex analysis

See Also

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