DLMF:12.14.E17 (Q4257)

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DLMF:12.14.E17
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    Statements

    Defining formula
    W ⁡ ( a , x ) = 2 ⁢ k x ⁢ ( s 1 ⁢ ( a , x ) ⁢ cos ⁡ ω - s 2 ⁢ ( a , x ) ⁢ sin ⁡ ω ) , parabolic-W 𝑎 𝑥 2 𝑘 𝑥 subscript 𝑠 1 𝑎 𝑥 𝜔 subscript 𝑠 2 𝑎 𝑥 𝜔 {\displaystyle{\displaystyle W\left(a,x\right)=\sqrt{\frac{2k}{x}}\left(s_{1}(% a,x)\cos\omega-s_{2}(a,x)\sin\omega\right),}}
    0 references
    DLMF id
    DLMF:12.14.E17
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    Q11543
    Defining formula
    W ⁡ ( a , x ) parabolic-W 𝑎 𝑥 {\displaystyle{\displaystyle W\left(\NVar{a},\NVar{x}\right)}}
    xml-id
    C12.S14.SS1.p1.m1akdec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q11520
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C12.S1.XMD1.m1mdec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1mdec
    0 references
    Q11544
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C12.S14.XMD1.m1fdec
    0 references
    DLMF:12.14.E19
    Defining formula
    ω 𝜔 {\displaystyle{\displaystyle\omega}}
    xml-id
    C12.S14.XMD8.m1dec
    0 references
    Q11547
    Defining formula
    s n ⁢ ( a , x ) subscript 𝑠 𝑛 𝑎 𝑥 {\displaystyle{\displaystyle s_{n}(a,x)}}
    xml-id
    C12.S14.XMD9.m1dec
    0 references
     
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