DLMF:13.2.E33 (Q4325)

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DLMF:13.2.E33
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    Statements

    test
    𝒲 ⁑ { 𝐌 ⁑ ( a , b , z ) , z 1 - b ⁒ 𝐌 ⁑ ( a - b + 1 , 2 - b , z ) } = sin ⁑ ( Ο€ ⁒ b ) ⁒ z - b ⁒ e z / Ο€ , Wronskian Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 𝑧 superscript 𝑧 1 𝑏 Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 1 2 𝑏 𝑧 πœ‹ 𝑏 superscript 𝑧 𝑏 superscript 𝑒 𝑧 πœ‹ {\displaystyle{\displaystyle\mathscr{W}\left\{{\mathbf{M}}\left(a,b,z\right),z% ^{1-b}{\mathbf{M}}\left(a-b+1,2-b,z\right)\right\}=\sin\left(\pi b\right)z^{-b% }e^{z}/\pi,}}
    0 references
    DLMF id
    DLMF:13.2.E33
    0 references
    Symbols used
    Olver’s confluent hypergeometric function
    test
    𝐌 ⁑ ( a , b , z ) Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}
    xml-id
    C13.S2.E3.m2aedec
    0 references
    Q10865
    test
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    xml-id
    C1.S13.Px2.p1.m3adec
    0 references
     
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