DLMF:13.2.E13 (Q4303)

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DLMF:13.2.E13
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    Statements

    Defining formula
    M ⁡ ( a , b , z ) = 1 + O ⁡ ( z ) . Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 1 Big-O 𝑧 {\displaystyle{\displaystyle M\left(a,b,z\right)=1+O\left(z\right).}}
    0 references
    DLMF id
    DLMF:13.2.E13
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    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
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    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    Defining formula
    M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E2.m2afdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1ldec
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