Gudermannian

Gudermannian[z]

gives the Gudermannian function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The Gudermannian function is defined by .
  • Gudermannian[z] has branch cut discontinuities in the complex plane running from to for integers .
  • Gudermannian can be evaluated to arbitrary numerical precision.
  • Gudermannian automatically threads over lists.

Examples

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Basic Examples  (1)

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Scope  (6)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (2)

See Also

InverseGudermannian  ArcTan

Introduced in 2008
(7.0)