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Hyperbolic tangent. from wolfram mathworld
mathworld.wolfram.com 2014-11-12
gradshteyn and Ryzhik 2000, p. xxix. is implemented in Mathematica as Tanh z. Special values include 5 6 where is the golden ratio. The derivative of is 7 and higher.order derivatives are given by 8 where is an Eulerian number. The indefinite integral is given by 9 has Taylor series 10 11 OEIS A002430 and A036279. As Gauss showed in 1812, the hyperbolic tangent can be written using a continued fraction as 12 Wall 1948, p. 349;
mathworld.wolfram.com 2014-11-12
gradshteyn and Ryzhik 2000, p. xxix. is implemented in Mathematica as Tanh z. Special values include 5 6 where is the golden ratio. The derivative of is 7 and higher.order derivatives are given by 8 where is an Eulerian number. The indefinite integral is given by 9 has Taylor series 10 11 OEIS A002430 and A036279. As Gauss showed in 1812, the hyperbolic tangent can be written using a continued fraction as 12 Wall 1948, p. 349;
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