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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. root(x,x)
  3. Exponential function
  4. Natural logarithm
  5. Img part of Circular and Hyperbolic functions in real domain are 0. So only their inverse functions are shown :

  6. Circular sine
  7. Circular cosine
  8. Circular tangent
  9. Circular cotangent
  10. Circular secant
  11. Circular cosecant
  12. Hyperbolic sine
  13. Hyperbolic cosine
  14. Hyperbolic tangent
  15. Hyperbolic cotangent
  16. Hyperbolic secant
  17. Hyperbolic cosecant
  18. Bessel function of first kind
  19. Bessel function of second kind
  20. Modified Bessel function of first kind
  21. Modified Bessel function of second kind
  22. Hankel function of first kind
  23. Hankel function of second kind
  24. Airy function of first kind
  25. Airy function of second kind
  26. Elliptic integral of first kind
  27. Elliptic integral of second kind
  28. Elliptic integral of third kind
  29. Jacobi zeta function
  30. Jacobi elliptic sine
  31. Jacobi elliptic cosine
  32. Jacobi delta amplitude
  33. Jacobi amplitude
  34. Weierstrass elliptic function
  35. Gamma function
  36. Logarithm of gamma function
  37. Riemann zeta function
  38. Dirichlet eta function
  39. 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.

References

  1. complex - complex math - complex function
  2. math handbook chapter 10 complex function
  3. complex animate(z) for phase animation, the independent variable must be z.
  4. complex plot(z) for phase and/or modulus, the independent variable must be z.
  5. complex2D(x) for complex 2 curves of real and imag parts, the independent variable must be x.
  6. complex3D(x) for 3 dimensional graph, the independent variable must be x.
  7. color WebXR surface of complex function on complex plane
  8. Riemann surface - Complex Branches - complex coloring
  9. 2D surface - 3D surface

See Also

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