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DLMF:13.2.E40 - MaRDI portal

DLMF:13.2.E40 (Q5029)

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DLMF:13.2.E40
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    Statements

    DLMF defining formula
    U ⁡ ( a , b , z ) = z 1 - b ⁢ U ⁡ ( a - b + 1 , 2 - b , z ) . Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 superscript 𝑧 1 𝑏 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 2 𝑏 𝑧 {\displaystyle{\displaystyle U\left(a,b,z\right)=z^{1-b}U\left(a-b+1,2-b,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.m2awdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1amdec
    0 references

    Identifiers

     
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