DLMF:2.8.E18 (Q952): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11079 / rank
 
Normal rank
Property / Symbols used: Q11079 / qualifier
 
Defining formula:

A s ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}

A_{s}(\xi)
Property / Symbols used: Q11079 / qualifier
 
xml-id: C2.S8.XMD17.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11080 / rank
 
Normal rank
Property / Symbols used: Q11080 / qualifier
 
Defining formula:

B s ( ξ ) subscript 𝐵 𝑠 𝜉 {\displaystyle{\displaystyle B_{s}(\xi)}}

B_{s}(\xi)
Property / Symbols used: Q11080 / qualifier
 
xml-id: C2.S8.XMD18.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11071 / rank
 
Normal rank
Property / Symbols used: Q11071 / qualifier
 
Defining formula:

ψ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}

\psi(\xi)
Property / Symbols used: Q11071 / qualifier
 
xml-id: C2.S8.XMD7.m1gdec

Latest revision as of 17:27, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.8.E18
No description defined

    Statements

    A s + 1 ( ξ ) = - 1 2 B s ( ξ ) + 1 2 ψ ( ξ ) B s ( ξ ) d ξ , subscript 𝐴 𝑠 1 𝜉 1 2 superscript subscript 𝐵 𝑠 𝜉 1 2 𝜓 𝜉 subscript 𝐵 𝑠 𝜉 𝜉 {\displaystyle{\displaystyle A_{s+1}(\xi)=-\tfrac{1}{2}B_{s}^{\prime}(\xi)+% \tfrac{1}{2}\int\psi(\xi)B_{s}(\xi)\mathrm{d}\xi,}}
    0 references
    DLMF:2.8.E18
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aedec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aedec
    0 references
    A s ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}}
    C2.S8.XMD17.m1cdec
    0 references
    B s ( ξ ) subscript 𝐵 𝑠 𝜉 {\displaystyle{\displaystyle B_{s}(\xi)}}
    C2.S8.XMD18.m1cdec
    0 references
    ψ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}}
    C2.S8.XMD7.m1gdec
    0 references