Equivalence of inverse hyperbolic functions and logarithms
Subject: Equivalence of inverse hyperbolic functions and logarithms
From: Stathis Kamperis
Date: Mon, 8 Dec 2008 22:42:04 +0200
Greetings everyone and congratulations on the work you are doing with Maxima.
I'd like your expertise in the following topic.
There is an equivalence between inverse hyperbolic functions and logarithms,
eg:
arcsinh(x) = ln(x + sqrt(1 + x^2))
Is there a way to tell Maxima use one form over the other
when calculating? Say when integrating ? So that the
result is expressed in terms of inverse hyperbolic functions
or of logarithms ?
I know it's trivial to implement it, as a simplifier,
just wondering whether there exists something already.
Best regards,
Stathis Kamperis