DLMF:9.11.E2 (Q2909): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11081 / rank
 
Normal rank
Property / Symbols used: Q11081 / qualifier
 
Defining formula:

Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

\AiryBi@{\NVar{z}}
Property / Symbols used: Q11081 / qualifier
 
xml-id: C9.S2.SS1.m2adec
Property / Symbols used
 
Property / Symbols used: Q10865 / rank
 
Normal rank
Property / Symbols used: Q10865 / qualifier
 
Defining formula:

𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}

\Wronskian
Property / Symbols used: Q10865 / qualifier
 
xml-id: C1.S13.Px2.p1.m3adec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1adec

Latest revision as of 14:48, 2 January 2020

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DLMF:9.11.E2
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    Statements

    𝒲 { Ai 2 ( z ) , Ai ( z ) Bi ( z ) , Bi 2 ( z ) } = 2 π - 3 . Wronskian Airy-Ai 2 𝑧 Airy-Ai 𝑧 Airy-Bi 𝑧 Airy-Bi 2 𝑧 2 superscript 𝜋 3 {\displaystyle{\displaystyle\mathscr{W}\left\{{\mathrm{Ai}^{2}}\left(z\right),% \mathrm{Ai}\left(z\right)\mathrm{Bi}\left(z\right),{\mathrm{Bi}^{2}}\left(z% \right)\right\}=2\pi^{-3}.}}
    0 references
    DLMF:9.11.E2
    0 references
    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1adec
    0 references
    Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    C9.S2.SS1.m2adec
    0 references
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    C1.S13.Px2.p1.m3adec
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C9.S1.XMD3.m1adec
    0 references