DLMF:13.2.E10 (Q4300)

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DLMF:13.2.E10
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    test
    U ⁡ ( - m , n + 1 , z ) = ( - 1 ) m ⁢ ( n + 1 ) m ⁢ M ⁡ ( - m , n + 1 , z ) = ( - 1 ) m ⁢ ∑ s = 0 m ( m s ) ⁢ ( n + s + 1 ) m - s ⁢ ( - z ) s . Kummer-confluent-hypergeometric-U 𝑚 𝑛 1 𝑧 superscript 1 𝑚 Pochhammer 𝑛 1 𝑚 Kummer-confluent-hypergeometric-M 𝑚 𝑛 1 𝑧 superscript 1 𝑚 superscript subscript 𝑠 0 𝑚 binomial 𝑚 𝑠 Pochhammer 𝑛 𝑠 1 𝑚 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle U\left(-m,n+1,z\right)=(-1)^{m}{\left(n+1\right)_% {m}}M\left(-m,n+1,z\right)=(-1)^{m}\sum_{s=0}^{m}\genfrac{(}{)}{0.0pt}{}{m}{s}% {\left(n+s+1\right)_{m-s}}(-z)^{s}.}}
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    DLMF:13.2.E10
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