Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframAlphaMath`SpecialFunctionsAndCalculus`
MeijerGForm  |  |
| |
Details and Options
Examples
(13)
Basic Examples
(2)
Get the Meijer-G form of a trigonometric function:
In[1]:=
 | MeijerGForm |
Out[1]=
π
MeijerG{{},{}},1
2
z
2
1
2
Activating the result allows the to evaluate, giving back the original function:
MeijerG
In[2]:=
Activate[%]
Out[2]=
Sin[z]
In[1]:=
| MeijerGForm |
Out[1]=
MeijerG{{},{}},,-,,
1
2
1
2
ax
2
1
2
In[2]:=
Activate[%]
Out[2]=
BesselJ[1,ax]
Scope
(9)
Elementary Functions
Elementary Functions
Rational functions:
In[1]:=
| MeijerGForm |
1
2
x
Out[1]=
MeijerG[{{0},{}},{{0},{}},]
2
x
In[2]:=
| MeijerGForm |
1
2x+3
Out[2]=
1
3
2x
3
Algebraic functions:
In[1]:=
| MeijerGForm |
1
x
+1Out[1]=
MeijerG{{0},{}},{{0},{}},
x
Trigonometric functions:
In[1]:=
| MeijerGForm |
Out[1]=
π
MeijerG{{},{}},1
2
ax
2
1
2
In[2]:=
| MeijerGForm |
Out[2]=
π
MeijerG{},1
2
d
π
1
2
1
2
d
π
ax
2
1
2
Linear combination of trigonometric functions:
In[1]:=
| MeijerGForm |
Out[1]=
5π
MeijerG{},ArcTan
1
2
π
1
2
ArcTan
1
2
π
x
2
1
2
Inverse trigonometric and hyperbolic functions:
In[1]:=
| MeijerGForm |
Out[1]=
-
MeijerG{{1,1},{}},,{0},x,
1
2
1
2
2
π
In[2]:=
| MeijerGForm |
Out[2]=
-MeijerG,1,{},,{0},x,
1
2
1
2
1
2
1
2
Special Functions
Special Functions
Airy functions:
In[3]:=
| MeijerGForm |
Out[3]=
MeijerG{{},{}},0,,{},,
1
3
x
2/3
3
1
3
2π
1/6
3
In[4]:=
| MeijerGForm |
Out[4]=
2πMeijerG{},,,0,,,,,
1
6
2
3
1
3
1
6
2
3
x
2/3
3
1
3
1/6
3
Bessel functions:
In[1]:=
| MeijerGForm |
Out[1]=
MeijerG{{},{}},,-,,
n
2
n
2
x
2
1
2
In[2]:=
| MeijerGForm |
Out[2]=
1
2
n
2
n
2
x
2
1
2
Legendre functions:
In[1]:=
| MeijerGForm |
Out[1]=
1
2
1
2
1
2
Hypergeometric functions:
In[1]:=
| MeijerGForm |
Out[1]=
Gamma[c]MeijerG[{{1-a,1-b},{}},{{0},{1-c}},-x]
Gamma[a]Gamma[b]
Elliptic integrals:
In[1]:=
| MeijerGForm |
Out[1]=
1
2
1
2
1
2
In[2]:=
| MeijerGForm |
Out[2]=
-MeijerG,,{},{{0},{0}},-m
1
4
1
2
3
2
Options
(1)
Properties & Relations
(1)
 |
|
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