ArcSinh
Elementary Functions
ArcSinh[
z
]
Representations through equivalent functions
With related functions
Involving sec
-1
(134 formulas)
Involving sinh
-1
(
z
) (24 formulas)
Involving sinh
-1
(
z
1/2
) (6 formulas)
Involving sinh
-1
(1/
z
1/2
) (3 formulas)
Involving sinh
-1
((
c
z
2
)
1/2
) (6 formulas)
Involving sinh
-1
(
a
(
b
z
c
)
m
) (1 formula)
Involving sinh
-1
((
z
-1)
1/2
) (7 formulas)
Involving sinh
-1
((-1+
c
z
)
1/2
/2
1/2
) (6 formulas)
Involving sinh
-1
((1-
z
)
1/2
/
z
1/2
) (4 formulas)
Involving sinh
-1
((
z
-1)
1/2
/(-
z
)
1/2
) (4 formulas)
Involving sinh
-1
(1-
z
/
z
1/2
) (4 formulas)
Involving sinh
-1
((
a
-
z
)
1/2
/(2
z
)
1/2
) (6 formulas)
Involving sinh
-1
((
z
-
a
)
1/2
/(-2
z
)
1/2
) (6 formulas)
Involving sinh
-1
(
a
-
z
/2
z
1/2
) (6 formulas)
Involving sinh
-1
((
a
z
c
-1)
1/2
) (5 formulas)
Involving sinh
-1
((1-
z
2
)
1/2
/
z
) (6 formulas)
Involving sinh
-1
((1-
z
2
)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving sinh
-1
((
z
2
-1)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving sinh
-1
(1-
z
2
/
z
2
1/2
) (5 formulas)
Involving sinh
-1
(2
z
(
z
2
-1)
1/2
) (2 formulas)
Involving sinh
-1
(2 (1-
z
2
)
1/2
/
z
2
) (2 formulas)
Involving sinh
-1
((((1-
z
2
)
1/2
-1)/2)
1/2
) (3 formulas)
Involving sinh
-1
(
z
((1-
z
2
)
1/2
-1)
1/2
/(2
z
2
)
1/2
) (3 formulas)
Involving sinh
-1
(
z
(((1-
z
2
)
1/2
-1)/(2
z
2
))
1/2
) (3 formulas)
Involving sinh
-1
(((
z
2
-1)
1/2
-
z
)
1/2
/(2
z
)
1/2
) (6 formulas)
Involving sinh
-1
((((
z
2
-1)
1/2
-
z
)/(2
z
))
1/2
) (6 formulas)
