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Complex Functions

Content

on plane curve 2D in real domain

in WebXR Surface 2D

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

Navigation control is available for thumbpads. Rotate left and right by holding down the appropriate side of the thumbpad. Move forward and backward in the direction of the WebXR camera by holding down the upper or lower part of the thumbpad.

Complex

  1. complex - complex function - complex math
  2. complex animate(z) or complex2D(x) for phase animation in complex plane, the independent variable must be z.
  3. complex plot(z) for phase and/or modulus in complex plane, the independent variable must be z.
  4. plot complex(z) for phase and/or modulus in complex plane, the independent variable must be z.
  5. complex2D show re2D(x) and im2D(x) for complex 2 curves of real and imag parts in real and imag domain, 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

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

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