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DLMF:13.3.E7 - MaRDI portal

DLMF:13.3.E7 (Q5038)

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DLMF:13.3.E7
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    Statements

    DLMF defining formula
    U ⁡ ( a - 1 , b , z ) + ( b - 2 ⁢ a - z ) ⁢ U ⁡ ( a , b , z ) + a ⁢ ( a - b + 1 ) ⁢ U ⁡ ( a + 1 , b , z ) = 0 , Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 𝑧 𝑏 2 𝑎 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 𝑎 𝑎 𝑏 1 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 𝑧 0 {\displaystyle{\displaystyle U\left(a-1,b,z\right)+(b-2a-z)U\left(a,b,z\right)% +a(a-b+1)U\left(a+1,b,z\right)=0,}}
    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
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1fdec
    0 references

    Identifiers

     
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