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DLMF:13.10.E2 - MaRDI portal

DLMF:13.10.E2 (Q5158)

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DLMF:13.10.E2
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    Statements

    DLMF defining formula
    ∫ U ⁡ ( a , b , z ) ⁢ d z = - 1 a - 1 ⁢ U ⁡ ( a - 1 , b - 1 , z ) . Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 𝑧 1 𝑎 1 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 1 𝑧 {\displaystyle{\displaystyle\int U\left(a,b,z\right)\mathrm{d}z=-\frac{1}{a-1}% U\left(a-1,b-1,z\right).}}
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    DLMF defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2adec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1adec
    0 references

    Identifiers

     
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