ArcTanh
Elementary Functions
ArcTanh[
z
]
Representations through equivalent functions
With related functions
Involving csch
-1
(364 formulas)
Involving tanh
-1
(
z
) (75 formulas)
Involving tanh
-1
(
z
1/2
) (61 formulas)
Involving tanh
-1
(1/
z
1/2
) (65 formulas)
Involving tanh
-1
((1+
z
)
1/2
) (4 formulas)
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
) (7 formulas)
Involving tanh
-1
((-1-
z
)
1/2
/(-
z
)
1/2
) (8 formulas)
Involving tanh
-1
(
z
+1/
z
1/2
) (8 formulas)
Involving tanh
-1
(
z
1/2
/(1+
z
)
1/2
) (7 formulas)
Involving tanh
-1
((-
z
)
1/2
/(-1-
z
)
1/2
) (7 formulas)
Involving tanh
-1
(
z
/
z
+1
1/2
) (7 formulas)
Involving tanh
-1
((
z
-
a
)
1/2
/(
z
+
a
)
1/2
) (8 formulas)
Involving tanh
-1
((
a
-
z
)
1/2
/(-
a
-
z
)
1/2
) (9 formulas)
Involving tanh
-1
(
z
-
a
/
z
+
a
1/2
) (8 formulas)
Involving tanh
-1
((1+
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
(1/(1+
z
2
)
1/2
) (7 formulas)
Involving tanh
-1
(1/1+
z
2
1/2
) (5 formulas)
Involving tanh
-1
(
z
1+
z
2
/
z
2
1/2
) (3 formulas)
Involving tanh
-1
(
z
/(
z
2
+1)
1/2
) (4 formulas)
Involving tanh
-1
((
z
2
)
1/2
/(1+
z
2
)
1/2
) (5 formulas)
Involving tanh
-1
((-
z
2
)
1/2
/(-
z
2
-1)
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
) (3 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
) (4 formulas)
Involving tanh
-1
(
z
/(1+
z
2
)
1/2
+
a
) (4 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
) (2 formulas)
Involving tanh
-1
(1+2
z
2
/2
z
(
z
2
+1)
1/2
) (5 formulas)
