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 Sinc analogues Logistic functions, Gudermannian, and inverses Algebraic curves Bessel-type functions Integer functions

## Functions of a hypercomplex variable

### Logistic functions, Gudermannian, and inverses

#### Logistic functions

• Complex logistics (complex map / 3D plot)
• Dual logistics ([ dual map] / [ 3D plot])
• Split-complex logistics ([ split-complex map] / [ 3D plot])
• Quaternionic logistics ([ vectors] / [ sliders] / [ 3D rotations])
• Octonionic logicstics ([ vectors] / [ sliders])

#### Gudermannian

• Complex Gudermannian (complex map of principal branch / 3D plot of principal branch / Riemann surface)
• is elementary
• is analytic on any open set on its domain
• is conformal
• Dual Gudermannian ([ dual map] / [ 3D plot])
• Split-complex Gudermannian ([ split-complex map] / [ 3D plot])
• Quaternionic Gudermannian ([ vectors] / [ sliders] / [ 3D rotations])
• Octonionic Gudermannian ([ vectors] / [ sliders])

#### Inverse Gudermannian

• Complex inverse Gudermannian (complex map of principal branch / 3D plot of principal branch / Riemann surface)
• is elementary
• is analytic on any open set on its domain
• is conformal
• Dual inverse Gudermannian ([ dual map] / [ 3D plot])
• Split-complex inverse Gudermannian ([ split-complex map] / [ 3D plot])
• Quaternionic inverse Gudermannian ([ vectors] / [ sliders] / [ 3D rotations])
• is extremely multivalued for elements of
• Octonionic inverse Gudermannian ([ vectors] / [ sliders])
• is extremely multivalued for elements of