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DLMF:30.3#Ex10 - MaRDI portal

DLMF:30.3#Ex10 (Q9533)

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DLMF:30.3#Ex10
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    DLMF defining formula
    A = ( n - m - 1 ) ⁢ ( n - m ) ⁢ ( n + m - 1 ) ⁢ ( n + m ) ( 2 ⁢ n - 5 ) 2 ⁢ ( 2 ⁢ n - 3 ) ⁢ ( 2 ⁢ n - 1 ) 7 ⁢ ( 2 ⁢ n + 1 ) ⁢ ( 2 ⁢ n + 3 ) 2 - ( n - m + 1 ) ⁢ ( n - m + 2 ) ⁢ ( n + m + 1 ) ⁢ ( n + m + 2 ) ( 2 ⁢ n - 1 ) 2 ⁢ ( 2 ⁢ n + 1 ) ⁢ ( 2 ⁢ n + 3 ) 7 ⁢ ( 2 ⁢ n + 5 ) ⁢ ( 2 ⁢ n + 7 ) 2 , 𝐴 𝑛 𝑚 1 𝑛 𝑚 𝑛 𝑚 1 𝑛 𝑚 superscript 2 𝑛 5 2 2 𝑛 3 superscript 2 𝑛 1 7 2 𝑛 1 superscript 2 𝑛 3 2 𝑛 𝑚 1 𝑛 𝑚 2 𝑛 𝑚 1 𝑛 𝑚 2 superscript 2 𝑛 1 2 2 𝑛 1 superscript 2 𝑛 3 7 2 𝑛 5 superscript 2 𝑛 7 2 {\displaystyle{\displaystyle A=\frac{(n-m-1)(n-m)(n+m-1)(n+m)}{(2n-5)^{2}(2n-3% )(2n-1)^{7}(2n+1)(2n+3)^{2}}-\frac{(n-m+1)(n-m+2)(n+m+1)(n+m+2)}{(2n-1)^{2}(2n% +1)(2n+3)^{7}(2n+5)(2n+7)^{2}},}}
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