hyperbolic functions: Quick Facts

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Facts

Also Known As	hyperbolic trigonometric function

Photos

Two graphs show the hyperbolic functions: on the left, y equals cosh x forms a symmetric upward curve, and on the right, y equals sinh x forms an increasing curve crossing the origin. Both have labeled x- and y-axes.

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Topics

hyperbola function special function trigonometric function logistic function Riemann zeta function exponential function Recursive function harmonic function Lagrangian function Hamiltonian function integral transform

Key People

Johann Lambert, detail of a lithograph by Gottfried Englemann, after a portrait by Pierre-Roch Vigneron

Johann Heinrich Lambert

Swiss-German scientist and philosopher

Equations written on blackboard

Numbers and Mathematics