DLMF:4.25.E2 (Q1813)

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DLMF:4.25.E2
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    Statements

    Defining formula
    tan ⁡ ( a ⁢ z ) = a ⁢ tan ⁡ z 1 + ( 1 - a 2 ) ⁢ tan 2 ⁡ z 3 + ( 4 - a 2 ) ⁢ tan 2 ⁡ z 5 + ( 9 - a 2 ) ⁢ tan 2 ⁡ z 7 + ⁢ ⋯ , 𝑎 𝑧 continued-fraction 𝑎 𝑧 1 continued-fraction 1 superscript 𝑎 2 2 𝑧 3 continued-fraction 4 superscript 𝑎 2 2 𝑧 5 continued-fraction 9 superscript 𝑎 2 2 𝑧 limit-from 7 ⋯ {\displaystyle{\displaystyle\tan\left(az\right)=\cfrac{a\tan z}{1+\cfrac{(1-a^% {2}){\tan^{2}}z}{3+\cfrac{(4-a^{2}){\tan^{2}}z}{5+\cfrac{(9-a^{2}){\tan^{2}}z}% {7+}}}}\cdots,}}
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    DLMF id
    DLMF:4.25.E2
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