DLMF:28.6.E16 (Q8250)

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DLMF:28.6.E16
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    Statements

    Defining formula
    a - ( 2 ⁢ n ) 2 - q 2 a - ( 2 ⁢ n - 2 ) 2 - q 2 a - ( 2 ⁢ n - 4 ) 2 - ⁢ ⋯ ⁢ q 2 a - 2 2 - 2 ⁢ q 2 a = - q 2 ( 2 ⁢ n + 2 ) 2 - a - q 2 ( 2 ⁢ n + 4 ) 2 - a - ⋯ , 𝑎 superscript 2 𝑛 2 continued-fraction superscript 𝑞 2 𝑎 superscript 2 𝑛 2 2 continued-fraction superscript 𝑞 2 𝑎 limit-from superscript 2 𝑛 4 2 ⋯ continued-fraction superscript 𝑞 2 𝑎 superscript 2 2 continued-fraction 2 superscript 𝑞 2 𝑎 continued-fraction superscript 𝑞 2 superscript 2 𝑛 2 2 𝑎 continued-fraction superscript 𝑞 2 superscript 2 𝑛 4 2 𝑎 ⋯ {\displaystyle{\displaystyle a-(2n)^{2}-\cfrac{q^{2}}{a-(2n-2)^{2}-\cfrac{q^{2% }}{a-(2n-4)^{2}-}}\cdots\cfrac{q^{2}}{a-2^{2}-\cfrac{2q^{2}}{a}}=-\cfrac{q^{2}% }{(2n+2)^{2}-a-\cfrac{q^{2}}{(2n+4)^{2}-a-\cdots}},}}
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    DLMF id
    DLMF:28.6.E16
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    Warning: Falling back to standard tex;
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