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DLMF:7.17.E3 - MaRDI portal

DLMF:7.17.E3 (Q3142)

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DLMF:7.17.E3
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    Statements

    DLMF defining formula
    inverfc ⁡ x ∼ u - 1 / 2 + a 2 ⁢ u 3 / 2 + a 3 ⁢ u 5 / 2 + a 4 ⁢ u 7 / 2 + ⋯ , asymptotic-expansion inverse-complementary-error-function 𝑥 superscript 𝑢 1 2 subscript 𝑎 2 superscript 𝑢 3 2 subscript 𝑎 3 superscript 𝑢 5 2 subscript 𝑎 4 superscript 𝑢 7 2 ⋯ {\displaystyle{\displaystyle\operatorname{inverfc}x\sim u^{-1/2}+a_{2}u^{3/2}+% a_{3}u^{5/2}+a_{4}u^{7/2}+\cdots,}}
    0 references
    Symbols used
    Q10905
    DLMF defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11adec
    0 references
    inverse complementary error function
    DLMF defining formula
    inverfc ⁡ x inverse-complementary-error-function 𝑥 {\displaystyle{\displaystyle\operatorname{inverfc}\NVar{x}}}
    xml-id
    C7.S17.E1.m2aadec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C7.S1.XMD1.m1bdec
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    coefficients
    DLMF defining formula
    a i subscript 𝑎 𝑖 {\displaystyle{\displaystyle a_{i}}}
    xml-id
    C7.S17.XMD1.m1dec
    0 references
    expansion variable (locally)
    DLMF defining formula
    u 𝑢 {\displaystyle{\displaystyle u}}
    xml-id
    C7.S17.XMD2.m1dec
    0 references

    Identifiers

     
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