ArcTanh
Elementary Functions
ArcTanh[
z
]
Representations through equivalent functions
With related functions
Involving csch
-1
Involving tanh
-1
(
z
) (75 formulas)
Involving tan
-1
(
z
) and csch
-1
(1-
z
2
/2
z
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
(
i
(1-
z
2
)/1+
z
2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
(
i
(
z
2
-1)/
z
2
+1) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
((
z
2
-1)
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
((1-
z
2
)
1/2
/
z
) (4 formulas)
Involving tanh
-1
(
z
) and csch
-1
((1-
z
2
)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
((
z
2
-1)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
(1-
z
2
/
z
2
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
(2
1/2
(1-
z
2
)
1/4
/(-(1-
z
2
)
1/2
-1)
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
(2
1/2
(1-
z
2
)
1/4
/(1-(1-
z
2
)
1/2
)
1/2
) (3 formulas)
Involving tanh
-1
(
z
) and csch
-1
((-2(1-
z
2
)
1/2
/((1-
z
2
)
1/2
+1))
1/2
) (5 formulas)
Involving tanh
-1
(
z
) and csch
-1
((2(1-
z
2
)
1/2
/(1-(1-
z
2
)
1/2
))
1/2
) (3 formulas)
Involving tanh
-1
(
z
) and csch
-1
(2
1/2
(
z
2
-1)
1/4
/(-(
z
2
-1)
1/2
-
z
)
1/2
) (4 formulas)
Involving tanh
-1
(
z
) and csch
-1
(2
1/2
(
z
2
-1)
1/4
/(
z
-(
z
2
-1)
1/2
)
1/2
) (4 formulas)
Involving tanh
-1
(
z
) and csch
-1
((2(
z
2
-1)
1/2
/((
z
2
-1)
1/2
+
z
))
1/2
) (6 formulas)
Involving tanh
-1
(
z
) and csch
-1
((2(
z
2
-1)
1/2
/(
z
-(
z
2
-1)
1/2
))
1/2
) (6 formulas)