DLMF:3.4.E4 (Q1183): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
Β 
imported>Admin
Β 
(2 intermediate revisions by the same user not shown)
Property / constraint
Β 

n 0 < t < n 1 subscript 𝑛 0 𝑑 subscript 𝑛 1 {\displaystyle{\displaystyle n_{0}<t<n_{1}}}

n_{0}<t<n_{1}
Property / constraint: n 0 < t < n 1 subscript 𝑛 0 𝑑 subscript 𝑛 1 {\displaystyle{\displaystyle n_{0}<t<n_{1}}} / rank
Β 
Normal rank
Property / Symbols used
Β 
Property / Symbols used: product (locally) / rank
Β 
Normal rank
Property / Symbols used: product (locally) / qualifier
Β 
test:

c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}

c_{n}
Property / Symbols used: product (locally) / qualifier
Β 
xml-id: C3.S3.XMD11.m1dec
Property / Symbols used
Β 
Property / Symbols used: remainder (locally) / rank
Β 
Normal rank
Property / Symbols used: remainder (locally) / qualifier
Β 
test:

R n , t β€² ⁒ ( x ) subscript superscript 𝑅 β€² 𝑛 𝑑 π‘₯ {\displaystyle{\displaystyle R^{\prime}_{n,t}(x)}}

R^{\prime}_{n,t}(x)
Property / Symbols used: remainder (locally) / qualifier
Β 
xml-id: C3.S4.XMD2.m1bdec

Latest revision as of 16:46, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:3.4.E4
No description defined

    Statements

    test
    h ⁒ | R n , t β€² | ≀ h n + 1 ⁒ ( c n ⁒ | f ( n + 2 ) ⁒ ( ΞΎ 1 ) | + 1 n + 1 ⁒ | f ( n + 1 ) ⁒ ( ΞΎ 0 ) | ) , β„Ž subscript superscript 𝑅 β€² 𝑛 𝑑 superscript β„Ž 𝑛 1 subscript 𝑐 𝑛 superscript 𝑓 𝑛 2 subscript πœ‰ 1 1 𝑛 1 superscript 𝑓 𝑛 1 subscript πœ‰ 0 {\displaystyle{\displaystyle h\left|R^{\prime}_{n,t}\right|\leq h^{n+1}\left(c% _{n}\left|f^{(n+2)}(\xi_{1})\right|+\frac{1}{n+1}\left|f^{(n+1)}(\xi_{0})% \right|\right),}}
    0 references
    DLMF id
    DLMF:3.4.E4
    0 references
    constraint
    n 0 < t < n 1 subscript 𝑛 0 𝑑 subscript 𝑛 1 {\displaystyle{\displaystyle n_{0}<t<n_{1}}}
    0 references
    Symbols used
    product (locally)
    test
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C3.S3.XMD11.m1dec
    0 references
    remainder (locally)
    test
    R n , t β€² ⁒ ( x ) subscript superscript 𝑅 β€² 𝑛 𝑑 π‘₯ {\displaystyle{\displaystyle R^{\prime}_{n,t}(x)}}
    xml-id
    C3.S4.XMD2.m1bdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q1183&oldid=6162"