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)