DLMF:9.13.E16 (Q2979): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11420 / rank
 
Normal rank
Property / Symbols used: Q11420 / qualifier
 
Defining formula:

V m subscript 𝑉 𝑚 {\displaystyle{\displaystyle V_{m}}}

V_{m}
Property / Symbols used: Q11420 / qualifier
 
xml-id: C9.S13.XMD7.m1adec

Latest revision as of 15:01, 2 January 2020

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DLMF:9.13.E16
No description defined

    Statements

    Defining formula
    π ⁢ ( 1 2 ⁢ m ) ( m - 2 ) / ( 2 ⁢ m ) ⁢ csc ⁡ ( π / m ) ⁢ B n ⁡ ( z ) = { U m ⁢ ( - t ) , m ⁢  even , V ¯ m ⁢ ( t ) , m ⁢  odd . 𝜋 superscript 1 2 𝑚 𝑚 2 2 𝑚 𝜋 𝑚 ODE-generalized-Airy-B 𝑛 𝑧 cases subscript 𝑈 𝑚 𝑡 𝑚  even subscript ¯ 𝑉 𝑚 𝑡 𝑚  odd {\displaystyle{\displaystyle\sqrt{\pi}\left(\tfrac{1}{2}m\right)^{(m-2)/(2m)}% \csc\left(\ifrac{\pi}{m}\right)B_{n}\left(z\right)=\begin{cases}U_{m}(-t),&m% \text{ even},\\ \overline{V}_{m}(t),&m\text{ odd}.\end{cases}}}
    0 references
    DLMF id
    DLMF:9.13.E16
    0 references
    Symbols used
    Q11417
    Defining formula
    B n ⁡ ( z ) ODE-generalized-Airy-B 𝑛 𝑧 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{z}\right)}}
    xml-id
    C9.S13.SS1.p2.m4agdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    cosecant function
    Defining formula
    csc ⁡ z 𝑧 {\displaystyle{\displaystyle\csc\NVar{z}}}
    xml-id
    C4.S14.E5.m2aadec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1mdec
    0 references
    parameter (locally)
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C9.S13.XMD1.m1mdec
    0 references
    Q11419
    Defining formula
    U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}}
    xml-id
    C9.S13.XMD12.m1adec
    0 references
    Q11418
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C9.S13.XMD5.m1cdec
    0 references
    Q11420
    Defining formula
    V m subscript 𝑉 𝑚 {\displaystyle{\displaystyle V_{m}}}
    xml-id
    C9.S13.XMD7.m1adec
    0 references
     
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