Exp
Elementary Functions
Exp[
z
]
Representations through more general functions
Through Meijer
G
(231 formulas)
Classical cases for the direct function itself (11 formulas)
Classical cases for the direct function itself minus parts of its series expansion (2 formulas)
Classical cases involving sin (3 formulas)
Classical cases involving cos (3 formulas)
Classical cases involving sinh (2 formulas)
Classical cases involving cosh (2 formulas)
Classical cases involving erf (2 formulas)
Classical cases involving erfc (2 formulas)
Classical cases involving erfi (2 formulas)
Classical cases involving Ei (3 formulas)
Classical cases involving exponential integral
E
(1 formula)
Classical cases involving incomplete gamma functions ||| Classical cases involving incomplete gamma functions (7 formulas)
Classical cases involving regularized incomplete gamma functions
Q
(7 formulas)
Classical cases involving Ai (4 formulas)
Classical cases involving Ai
'
(4 formulas)
Classical cases involving Bi (4 formulas)
Classical cases involving Bi
'
(4 formulas)
Classical cases involving Bessel
I
(2 formulas)
Classical cases involving Bessel
K
(2 formulas)
Classical cases involving parabolic cylinder function
D
(10 formulas)
Classical cases involving Hermite
H
(5 formulas)
Classical cases involving cosh and Hermite
H
(8 formulas)
Classical cases involving sinh and Hermite
H
(8 formulas)
Classical cases involving products of Hermite
H
(1 formula)
Classical cases involving parabolic cylinder
D
and Hermite
H
(2 formulas)
Classical cases involving Laguerre
L
(2 formulas)
Classical cases involving cosh and Laguerre
L
(2 formulas)
Classical cases involving sinh and Laguerre
L
(2 formulas)
Classical cases involving products of Laguerre
L
(2 formulas)
Classical cases involving
0
F
1
(4 formulas)
Classical cases involving
0
F
~
1
(4 formulas)
Classical cases involving
1
F
1
(1 formula)
Classical cases involving cosh and
1
F
1
(1 formula)
Classical cases involving sinh and
1
F
1
(1 formula)
Classical cases involving products of
1
F
1
(4 formulas)
Classical cases involving
1
F
~
1
(1 formula)
Classical cases involving
1
F
1
and
1
F
~
1
(4 formulas)
Classical cases involving
1
F
1
and hypergeometric
U
(2 formulas)
Classical cases involving
1
F
~
1
(1 formula)
Classical cases involving cosh and
1
F
~
1
(1 formula)
Classical cases involving sinh and
1
F
~
1
(1 formula)
Classical cases involving products of
1
F
~
1
(4 formulas)
Classical cases involving hypergeometric
U
(1 formula)
Classical cases involving cosh and hypergeometric
U
(1 formula)
Classical cases involving sinh and hypergeometric
U
(1 formula)
Classical cases involving products of hypergeometric
U
(1 formula)
Classical cases involving
1
F
~
1
and hypergeometric
U
(2 formulas)
Classical cases involving
1
F
1
and Laguerre
L
(2 formulas)
Classical cases involving
1
F
~
1
and Laguerre
L
(2 formulas)
Classical cases involving hypergeometric
U
and Laguerre
L
(2 formulas)
Classical cases involving WhittakerM
M
(3 formulas)
Classical cases involving WhittakerW
W
(2 formulas)
Generalized cases for the direct function itself (1 formula)
Generalized cases involving cos (3 formulas)
Generalized cases involving sin (3 formulas)
Generalized cases involving erf (2 formulas)
Generalized cases involving erfc (1 formula)
Generalized cases involving erfi (1 formula)
Generalized cases involving incomplete gamma functions ||| Generalized cases involving incomplete gamma functions (4 formulas)
Generalized cases involving regularized incomplete gamma functions
Q
(4 formulas)
Generalized cases involving Ai (2 formulas)
Generalized cases involving Ai
'
(2 formulas)
Generalized cases involving Bi (2 formulas)
Generalized cases involving Bi
'
(2 formulas)
Generalized cases involving parabolic cylinder function
D
(8 formulas)
Generalized cases involving Hermite
H
(4 formulas)
Generalized cases involving cosh and Hermite
H
(4 formulas)
Generalized cases involving sinh and Hermite
H
(4 formulas)
Generalized cases involving parabolic cylinder
D
and Hermite
H
(2 formulas)
Generalized cases involving products of Hermite
H
(2 formulas)
Generalized cases involving products of Laguerre
L
(2 formulas)
Generalized cases involving products of
1
F
1
(4 formulas)
Generalized cases involving
1
F
1
and
1
F
~
1
(4 formulas)
Generalized cases involving
1
F
1
and hypergeometric
U
(1 formula)
Generalized cases involving products of
1
F
~
1
(4 formulas)
Generalized cases involving
1
F
1
and Laguerre
L
(2 formulas)
Generalized cases involving
1
F
~
1
and Laguerre
L
(2 formulas)
Generalized cases involving hypergeometric
U
and Laguerre
L
(2 formulas)
Generalized cases involving products of hypergeometric
U
(1 formula)
Generalized cases involving
1
F
~
1
and hypergeometric
U
(1 formula)
Generalized cases involving WhittakerM
M
(2 formulas)