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DLMF:30.3#Ex12 - MaRDI portal

DLMF:30.3#Ex12 (Q9535)

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DLMF:30.3#Ex12
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    DLMF defining formula
    C = ( n - m + 1 ) 2 ⁢ ( n - m + 2 ) 2 ⁢ ( n + m + 1 ) 2 ⁢ ( n + m + 2 ) 2 ( 2 ⁢ n + 1 ) 2 ⁢ ( 2 ⁢ n + 3 ) 7 ⁢ ( 2 ⁢ n + 5 ) 2 - ( n - m - 1 ) 2 ⁢ ( n - m ) 2 ⁢ ( n + m - 1 ) 2 ⁢ ( n + m ) 2 ( 2 ⁢ n - 3 ) 2 ⁢ ( 2 ⁢ n - 1 ) 7 ⁢ ( 2 ⁢ n + 1 ) 2 , 𝐶 superscript 𝑛 𝑚 1 2 superscript 𝑛 𝑚 2 2 superscript 𝑛 𝑚 1 2 superscript 𝑛 𝑚 2 2 superscript 2 𝑛 1 2 superscript 2 𝑛 3 7 superscript 2 𝑛 5 2 superscript 𝑛 𝑚 1 2 superscript 𝑛 𝑚 2 superscript 𝑛 𝑚 1 2 superscript 𝑛 𝑚 2 superscript 2 𝑛 3 2 superscript 2 𝑛 1 7 superscript 2 𝑛 1 2 {\displaystyle{\displaystyle C=\frac{(n-m+1)^{2}(n-m+2)^{2}(n+m+1)^{2}(n+m+2)^% {2}}{(2n+1)^{2}(2n+3)^{7}(2n+5)^{2}}-\frac{(n-m-1)^{2}(n-m)^{2}(n+m-1)^{2}(n+m% )^{2}}{(2n-3)^{2}(2n-1)^{7}(2n+1)^{2}},}}
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    Warning: Falling back to standard tex;
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