ArcTanh
Elementary Functions
ArcTanh[
z
]
Representations through equivalent functions
With related functions
Involving sec
^{-1}
Involving tanh
^{-1}
(1/
z
^{1/2}
) (69 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(1-
z
/1+
z
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(
z
-1/
z
+1) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(1-
z
/2 (-
z
)
^{1/2}
) (8 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(
z
-1/2 (-
z
)
^{1/2}
) (8 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((1-
z
)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((
z
-1)
^{1/2}
/
z
^{1/2}
) (3 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((1-
z
)
^{1/2}
/(-
z
)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(
z
-1/
z
^{1/2}
) (3 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(2
^{1/2}
(1-
z
)
^{1/4}
/((1-
z
)
^{1/2}
+1)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(2
^{1/2}
(1-
z
)
^{1/4}
/((1-
z
)
^{1/2}
-1)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((2(1-
z
)
^{1/2}
/((1-
z
)
^{1/2}
+1))
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((2(1-
z
)
^{1/2}
/((1-
z
)
^{1/2}
-1))
^{1/2}
) (3 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(2
^{1/2}
(1-
z
)
^{1/4}
/((1-
z
)
^{1/2}
+(-
z
)
^{1/2}
)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
(2
^{1/2}
(1-
z
)
^{1/4}
/((1-
z
)
^{1/2}
-(-
z
)
^{1/2}
)
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((2(1-
z
)
^{1/2}
/((1-
z
)
^{1/2}
+(-
z
)
^{1/2}
))
^{1/2}
) (4 formulas)
Involving tanh
^{-1}
(1/
z
^{1/2}
) and sec
^{-1}
((2(1-
z
)
^{1/2}
/((1-
z
)
^{1/2}
-(-
z
)
^{1/2}
))
^{1/2}
) (4 formulas)