The hyperbolic tangent function is defined as: f(x) = (ex - e-x) / (ex + e-x) The hyperbolic tangent function is often abbreviated as tanh. When graphed, the hyperbolic tangent function looks very ...

Bai-Ni Guo, Dongkyu Lim, Feng Qi, MACLAURIN’S SERIES EXPANSIONS FOR POSITIVE INTEGER POWERS OF INVERSE (HYPERBOLIC) SINE AND TANGENT FUNCTIONS, CLOSED-FORM FORMULA OF SPECIFIC PARTIAL BELL POLYNOMIALS ...

We suppose a discrete subgroup Γ of PU (1,n) that acts by isometries on the unit complex ball $\mathbb {H}^n_\mathbb {C}$. In this setting, much work has been done in order to understand the action of ...