DLMF:4.9#Ex3 (Q1613): Difference between revisions

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DLMF:4.9#Ex3
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    Defining formula
    = 1 + z 1 - ( z / 2 ) + z 2 / ( 4 ⋅ 3 ) 1 + z 2 / ( 4 ⋅ 15 ) 1 + z 2 / ( 4 ⋅ 35 ) 1 + ⁢ ⋯ ⁢ z 2 / ( 4 ⁢ ( 4 ⁢ n 2 - 1 ) ) 1 + ⁢ ⋯ absent 1 continued-fraction 𝑧 1 𝑧 2 continued-fraction superscript 𝑧 2 ⋅ 4 3 1 continued-fraction superscript 𝑧 2 ⋅ 4 15 1 continued-fraction superscript 𝑧 2 ⋅ 4 35 limit-from 1 ⋯ continued-fraction superscript 𝑧 2 4 4 superscript 𝑛 2 1 limit-from 1 ⋯ {\displaystyle{\displaystyle=1+\cfrac{z}{1-(z/2)+\cfrac{z^{2}/(4\cdot 3)}{1+% \cfrac{z^{2}/(4\cdot 15)}{1+\cfrac{z^{2}/(4\cdot 35)}{1+}}}}\cdots\cfrac{z^{2}% /(4(4n^{2}-1))}{1+}\cdots}}
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    DLMF:4.9#Ex3
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    Warning: Falling back to standard tex;
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