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DLMF:30.3#Ex13 - MaRDI portal

DLMF:30.3#Ex13 (Q9536)

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DLMF:30.3#Ex13
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    DLMF defining formula
    D = ( n - m - 1 ) ⁢ ( n - m ) ⁢ ( n - m + 1 ) ⁢ ( n - m + 2 ) ⁢ ( n + m - 1 ) ⁢ ( n + m ) ⁢ ( n + m + 1 ) ⁢ ( n + m + 2 ) ( 2 ⁢ n - 3 ) ⁢ ( 2 ⁢ n - 1 ) 4 ⁢ ( 2 ⁢ n + 1 ) 2 ⁢ ( 2 ⁢ n + 3 ) 4 ⁢ ( 2 ⁢ n + 5 ) . 𝐷 𝑛 𝑚 1 𝑛 𝑚 𝑛 𝑚 1 𝑛 𝑚 2 𝑛 𝑚 1 𝑛 𝑚 𝑛 𝑚 1 𝑛 𝑚 2 2 𝑛 3 superscript 2 𝑛 1 4 superscript 2 𝑛 1 2 superscript 2 𝑛 3 4 2 𝑛 5 {\displaystyle{\displaystyle D=\frac{(n-m-1)(n-m)(n-m+1)(n-m+2)(n+m-1)(n+m)(n+% m+1)(n+m+2)}{(2n-3)(2n-1)^{4}(2n+1)^{2}(2n+3)^{4}(2n+5)}.}}
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