DLMF:4.25.E4 (Q1815): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1cdec

Latest revision as of 17:39, 1 January 2020

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DLMF:4.25.E4
No description defined

    Statements

    test
    arctan ⁡ z = z 1 + z 2 3 + 4 ⁢ z 2 5 + 9 ⁢ z 2 7 + 16 ⁢ z 2 9 + ⁢ ⋯ , 𝑧 continued-fraction 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction 4 superscript 𝑧 2 5 continued-fraction 9 superscript 𝑧 2 7 continued-fraction 16 superscript 𝑧 2 limit-from 9 ⋯ {\displaystyle{\displaystyle\operatorname{arctan}z=\cfrac{z}{1+\cfrac{z^{2}}{3% +\cfrac{4z^{2}}{5+\cfrac{9z^{2}}{7+\cfrac{16z^{2}}{9+}}}}}\cdots,}}
    0 references
    DLMF id
    DLMF:4.25.E4
    0 references
    Symbols used
    Q10816
    test
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
    0 references
    Q11217
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1cdec
    0 references
     
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