Mathematical Research Data Initiative
Main page
Recent changes
Random page
SPARQL
MaRDI@GitHub
Special pages
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in
DLMF:22.20.E4
From MaRDI portal
Formula:7882
Jump to:
navigation
,
search
MaRDI QID
Q7882
Label: DLMF:22.20.E4
Digital Library of Mathematical Functions ID
22.20.E4
ϕ
n
-
1
=
1
2
(
ϕ
n
+
arcsin
(
c
n
a
n
sin
ϕ
n
)
)
,
subscript
italic-ϕ
𝑛
1
1
2
subscript
italic-ϕ
𝑛
subscript
𝑐
𝑛
subscript
𝑎
𝑛
subscript
italic-ϕ
𝑛
{\displaystyle{\displaystyle\phi_{n-1}=\frac{1}{2}\left(\phi_{n}+\operatorname% {arcsin}\left(\frac{c_{n}}{a_{n}}\sin\phi_{n}\right)\right),}}
Constraint(s)
Symbols List
arcsin
z
𝑧
{\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
:
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
: sine function
a
n
subscript
𝑎
𝑛
{\displaystyle{\displaystyle a_{n}}}
: numbers
c
n
subscript
𝑐
𝑛
{\displaystyle{\displaystyle c_{n}}}
: numbers
n
𝑛
{\displaystyle{\displaystyle n}}
: positive
ϕ
N
subscript
italic-ϕ
𝑁
{\displaystyle{\displaystyle\phi_{N}}}
: approximations
Resources that cite this formula
No records found.
Tools
What links here
Related changes
Printable version
Permanent link
Page information