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gives the inverse Gudermannian function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The inverse Gudermannian function is defined by .
  • to for integers .
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Exact evaluations:
TraditionalForm formatting:
InverseGudermannian can be applied to a power series:
Mercator projection map of the world:
Derivative of the inverse Gudermannian function:
Use FunctionExpand to expand InverseGudermannian in terms of elementary functions:
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