Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Create a new EntitySchema
Merge two items
In other projects
Discussion
View source
View history
Purge
English
Log in
Formula
:
9253
From MaRDI portal
Jump to:
navigation
,
search
Digital Library of Mathematical Functions ID
28.33.E2
V
n
(
ξ
,
η
)
=
(
c
n
M
n
(
1
)
(
ξ
,
q
)
+
d
n
M
n
(
2
)
(
ξ
,
q
)
)
me
n
(
η
,
q
)
,
subscript
𝑉
𝑛
𝜉
𝜂
subscript
𝑐
𝑛
modified-Mathieu-M
1
𝑛
𝜉
𝑞
subscript
𝑑
𝑛
modified-Mathieu-M
2
𝑛
𝜉
𝑞
Mathieu-me
𝑛
𝜂
𝑞
{\displaystyle{\displaystyle V_{n}(\xi,\eta)=\left(c_{n}{\mathrm{M}^{(1)}_{n}}% \left(\xi,\sqrt{q}\right)+d_{n}{\mathrm{M}^{(2)}_{n}}\left(\xi,\sqrt{q}\right)% \right)\mathrm{me}_{n}\left(\eta,q\right),}}
Constraint(s)
Symbols List
me
n
(
z
,
q
)
Mathieu-me
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
:
M
ν
(
j
)
(
z
,
h
)
modified-Mathieu-M
𝑗
𝜈
𝑧
ℎ
{\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}
:
q
=
h
2
𝑞
superscript
ℎ
2
{\displaystyle{\displaystyle q=h^{2}}}
: parameter
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
V
(
ξ
,
η
)
𝑉
𝜉
𝜂
{\displaystyle{\displaystyle V(\xi,\eta)}}
: solution
d
n
subscript
𝑑
𝑛
{\displaystyle{\displaystyle d_{n}}}
: constants
η
𝜂
{\displaystyle{\displaystyle\eta}}
: variable
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
: variable
c
n
subscript
𝑐
𝑛
{\displaystyle{\displaystyle c_{n}}}
: constants
Resources that cite this formula
No records found.
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item