ArcTanh
Elementary Functions
ArcTanh[
z
]
Representations through equivalent functions
With related functions
Involving sech
-1
(373 formulas)
Involving tanh
-1
(
z
) (84 formulas)
Involving tanh
-1
(
z
1/2
) (56 formulas)
Involving tanh
-1
(1/
z
1/2
) (64 formulas)
Involving tanh
-1
((1-
z
)
1/2
) (1 formula)
Involving tanh
-1
(1/(1-
z
)
1/2
) (3 formulas)
Involving tanh
-1
(1/1-
z
1/2
) (4 formulas)
Involving tanh
-1
((
z
-1)
1/2
/
z
1/2
) (4 formulas)
Involving tanh
-1
((1-
z
)
1/2
/(-
z
)
1/2
) (7 formulas)
Involving tanh
-1
(
z
-1/
z
1/2
) (4 formulas)
Involving tanh
-1
(
z
1/2
/(
z
-1)
1/2
) (6 formulas)
Involving tanh
-1
((-
z
)
1/2
/(1-
z
)
1/2
) (8 formulas)
Involving tanh
-1
(
z
/
z
-1
1/2
) (8 formulas)
Involving tanh
-1
((
z
-
a
)
1/2
/(
z
+
a
)
1/2
) (6 formulas)
Involving tanh
-1
((
a
-
z
)
1/2
/(-
a
-
z
)
1/2
) (8 formulas)
Involving tanh
-1
(
z
-
a
/
z
+
a
1/2
) (7 formulas)
Involving tanh
-1
((1-
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(1/(1-
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(1/1-
z
2
1/2
) (5 formulas)
Involving tanh
-1
(
z
1-
z
2
/
z
2
1/2
) (6 formulas)
Involving tanh
-1
(
z
/(
z
2
-1)
1/2
) (6 formulas)
Involving tanh
-1
((
z
2
)
1/2
/(
z
2
-1)
1/2
) (5 formulas)
Involving tanh
-1
((-
z
2
)
1/2
/(1-
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(
z
2
/
z
2
-1
1/2
) (5 formulas)
Involving tanh
-1
((
z
2
-1)
1/2
/
z
) (6 formulas)
Involving tanh
-1
((
z
2
-1)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
((1-
z
2
)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(
z
2
-1/
z
2
1/2
) (5 formulas)
Involving tanh
-1
((1+
z
2
)
1/2
+
a
/
z
) (8 formulas)
Involving tanh
-1
(
z
/(1+
z
2
)
1/2
+
a
) (8 formulas)
Involving tanh
-1
(2 (1-
z
2
)
1/2
/-2+
z
2
) (4 formulas)
Involving tanh
-1
(-2+
z
2
/2 (1-
z
2
)
1/2
) (7 formulas)
Involving tanh
-1
(2
z
(
z
2
-1)
1/2
/1-2
z
2
) (5 formulas)
Involving tanh
-1
(1-2
z
2
/2
z
(
z
2
-1)
1/2
) (8 formulas)
