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Osborn,s Rule

المؤلف:  Osborn, G.

المصدر:  "Mnemonic for Hyperbolic Formulae." Math. Gaz. 2, 189, 1902.

الجزء والصفحة:  ...

14-10-2019

1802

Osborn's Rule

The prescription that a trigonometry identity can be converted to an analogous identity for hyperbolic functions by expanding, exchanging trigonometric functions with their hyperbolic counterparts, and then flipping the sign of each term involving the product of two hyperbolic sines. For example, given the identity

 

Osborn's rule gives the corresponding identity

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REFERENCES:

Osborn, G. "Mnemonic for Hyperbolic Formulae." Math. Gaz. 2, 189, 1902.