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