DLMF:12.14.E20 (Q4260)

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DLMF:12.14.E20
No description defined

    Statements

    Defining formula
    s 1 ⁢ ( a , x ) ∼ 1 + d 2 1 ! ⁢ 2 ⁢ x 2 - c 4 2 ! ⁢ 2 2 ⁢ x 4 - d 6 3 ! ⁢ 2 3 ⁢ x 6 + c 8 4 ! ⁢ 2 4 ⁢ x 8 + ⋯ , asymptotic-expansion subscript 𝑠 1 𝑎 𝑥 1 subscript 𝑑 2 1 2 superscript 𝑥 2 subscript 𝑐 4 2 superscript 2 2 superscript 𝑥 4 subscript 𝑑 6 3 superscript 2 3 superscript 𝑥 6 subscript 𝑐 8 4 superscript 2 4 superscript 𝑥 8 ⋯ {\displaystyle{\displaystyle s_{1}(a,x)\sim 1+\frac{d_{2}}{1!2x^{2}}-\frac{c_{% 4}}{2!2^{2}x^{4}}-\frac{d_{6}}{3!2^{3}x^{6}}+\frac{c_{8}}{4!2^{4}x^{8}}+\cdots% ,}}
    0 references
    DLMF id
    DLMF:12.14.E20
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    Q11520
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C12.S1.XMD1.m1pdec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1pdec
    0 references
    coefficients (locally)
    Defining formula
    c 2 ⁢ r subscript 𝑐 2 𝑟 {\displaystyle{\displaystyle c_{2r}}}
    xml-id
    C12.S14.XMD10.m1dec
    0 references
    coefficients (locally)
    Defining formula
    d 2 ⁢ r subscript 𝑑 2 𝑟 {\displaystyle{\displaystyle d_{2r}}}
    xml-id
    C12.S14.XMD11.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.m1bdec
    0 references
     
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