DLMF:13.10.E1 (Q4460)

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DLMF:13.10.E1
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    Statements

    Defining formula
    ∫ 𝐌 ⁑ ( a , b , z ) ⁒ d z = 1 a - 1 ⁒ 𝐌 ⁑ ( a - 1 , b - 1 , z ) , Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 𝑧 𝑧 1 π‘Ž 1 Kummer-confluent-hypergeometric-bold-M π‘Ž 1 𝑏 1 𝑧 {\displaystyle{\displaystyle\int{\mathbf{M}}\left(a,b,z\right)\mathrm{d}z=% \frac{1}{a-1}{\mathbf{M}}\left(a-1,b-1,z\right),}}
    0 references
    DLMF id
    DLMF:13.10.E1
    0 references
    Symbols used
    Olver’s confluent hypergeometric function
    Defining formula
    𝐌 ⁑ ( a , b , z ) Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}
    xml-id
    C13.S2.E3.m2adec
    0 references
    Q10770
    Defining formula
    d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10770
    Defining formula
    d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
     
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