DLMF:13.2.E26 (Q4318)

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DLMF:13.2.E26
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    Statements

    test
    M ⁡ ( a , b , z ) , z 1 - b ⁢ M ⁡ ( a - b + 1 , 2 - b , z ) , Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 superscript 𝑧 1 𝑏 Kummer-confluent-hypergeometric-M 𝑎 𝑏 1 2 𝑏 𝑧 {\displaystyle{\displaystyle M\left(a,b,z\right),\quad z^{1-b}M\left(a-b+1,2-b% ,z\right),}}
    0 references
    DLMF id
    DLMF:13.2.E26
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    constraint
    b ∉ ℤ 𝑏 {\displaystyle{\displaystyle b\not\in\mathbb{Z}}}
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    Symbols used
    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    test
    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.m2agdec
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    Q10818
    test
    ℤ {\displaystyle{\displaystyle\mathbb{Z}}}
    xml-id
    introduction.Sx4.p2.t1.r20.m2adec
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