DLMF:9.11.E9 (Q2916): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11405 / rank
 
Normal rank
Property / Symbols used: Q11405 / qualifier
 
Defining formula:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: Q11405 / qualifier
 
xml-id: C9.S11.XMD4.m1ddec

Latest revision as of 14:49, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:9.11.E9
No description defined

    Statements

    Defining formula
    ∫ z ⁢ w 1 ⁢ w 2 ′ ⁢ d z = 1 2 ⁢ w 1 ′ ⁢ w 2 ′ + 1 4 ⁢ z 2 ⁢ 𝒲 ⁡ { w 1 , w 2 } , 𝑧 subscript 𝑤 1 subscript superscript 𝑤 ′ 2 𝑧 1 2 subscript superscript 𝑤 ′ 1 subscript superscript 𝑤 ′ 2 1 4 superscript 𝑧 2 Wronskian subscript 𝑤 1 subscript 𝑤 2 {\displaystyle{\displaystyle\int zw_{1}w^{\prime}_{2}\mathrm{d}z=\tfrac{1}{2}w% ^{\prime}_{1}w^{\prime}_{2}+\tfrac{1}{4}z^{2}\mathscr{W}\left\{w_{1},w_{2}% \right\},}}
    0 references
    DLMF id
    DLMF:9.11.E9
    0 references
    Symbols used
    Q10865
    Defining formula
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3abdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1gdec
    0 references
    Q11405
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C9.S11.XMD4.m1ddec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2916&oldid=51257"