Hyperbolic Tangent
By way of analogy with the usual Tangent
the hyperbolic tangent is defined as
where
is the Hyperbolic Sine and 
is the Hyperbolic Cosine. The hyperbolic tangentcan be written using a Continued Fraction as
See also Bernoulli Number, Catenary, Correlation Coefficient--Gaussian Bivariate Distribution,Fibonacci Hyperbolic Tangent, Fisher's z'-Transformation, HyperbolicCotangent, Lorentz Group, Mercator Projection, Oblate Spheroidal Coordinates, Pseudosphere,Surface of Revolution, Tangent, Tractrix, Tractroid
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Hyperbolic Functions.'' §4.5 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 83-86, 1972.
Spanier, J. and Oldham, K. B. ``The Hyperbolic Tangent 
and Cotangent 
Functions.'' Ch. 30 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 279-284, 1987.
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