DLMF:13.6.E19 (Q4406)

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DLMF:13.6.E19
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    Defining formula
    U ⁡ ( - n , α + 1 , z ) = ( - 1 ) n ⁢ ( α + 1 ) n ⁢ M ⁡ ( - n , α + 1 , z ) = ( - 1 ) n ⁢ n ! ⁢ L n ( α ) ⁡ ( z ) . Kummer-confluent-hypergeometric-U 𝑛 𝛼 1 𝑧 superscript 1 𝑛 Pochhammer 𝛼 1 𝑛 Kummer-confluent-hypergeometric-M 𝑛 𝛼 1 𝑧 superscript 1 𝑛 𝑛 Laguerre-polynomial-L 𝛼 𝑛 𝑧 {\displaystyle{\displaystyle U\left(-n,\alpha+1,z\right)=(-1)^{n}{\left(\alpha% +1\right)_{n}}M\left(-n,\alpha+1,z\right)=(-1)^{n}n!L^{(\alpha)}_{n}\left(z% \right).}}
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    DLMF id
    DLMF:13.6.E19
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