DLMF:13.6.E3 (Q4390)

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DLMF:13.6.E3
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    Statements

    Defining formula
    M ⁡ ( 0 , b , z ) = U ⁡ ( 0 , b , z ) = 1 , Kummer-confluent-hypergeometric-M 0 𝑏 𝑧 Kummer-confluent-hypergeometric-U 0 𝑏 𝑧 1 {\displaystyle{\displaystyle M\left(0,b,z\right)=U\left(0,b,z\right)=1,}}
    0 references
    DLMF id
    DLMF:13.6.E3
    0 references
    Symbols used
    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    Defining formula
    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.m2abdec
    0 references
    Kummer confluent hypergeometric function
    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
     
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