The hyperbolic sine is defined as

*See also *Beta Function (Exponential), Bipolar Coordinates, Bipolar
Cylindrical Coordinates, Bispherical Coordinates, Catenary, Catenoid, Conical Function,
Cubic Equation, de Moivre's Identity, Dixon-Ferrar Formula, Elliptic Cylindrical Coordinates,
Elsasser Function, Fibonacci Hyperbolic Cosine, Fibonacci Hyperbolic Sine, Gudermannian Function,
Helicoid, Helmholtz Differential Equation--Elliptic Cylindrical Coordinates, Hyperbolic Cosecant, Laplace's Equation--Bispherical Coordinates, Laplace's Equation--Toroidal Coordinates, Lebesgue Constants (Fourier Series), Lorentz Group, Mercator Projection, Miller
Cylindrical Projection, Modified Bessel Function of the Second Kind, Modified Spherical Bessel Function,
Modified Struve Function, Nicholson's Formula, Oblate Spheroidal Coordinates, Parabola Involute,
Partition Function *P*, Poinsot's Spirals, Prolate Spheroidal Coordinates, Ramanujan's Tau
Function, Schläfli's Formula, Shi, Sine, Sine-Gordon Equation,
Surface of Revolution, Toroidal Coordinates, Toroidal Function, Tractrix, Watson's Formula

**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 Sine and Cosine Functions.''
Ch. 28 in *An Atlas of Functions.* Washington, DC: Hemisphere, pp. 263-271, 1987.

© 1996-9 *Eric W. Weisstein *

1999-05-25