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DLMF:4.24.E15 - MaRDI portal

DLMF:4.24.E15 (Q2099)

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DLMF:4.24.E15
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    Statements

    DLMF defining formula
    Arctan ⁡ u ± Arctan ⁡ v = Arctan ⁡ ( u ± v 1 ∓ u ⁢ v ) , plus-or-minus multivalued-inverse-tangent 𝑢 multivalued-inverse-tangent 𝑣 multivalued-inverse-tangent plus-or-minus 𝑢 𝑣 minus-or-plus 1 𝑢 𝑣 {\displaystyle{\displaystyle\operatorname{Arctan}u\pm\operatorname{Arctan}v=% \operatorname{Arctan}\left(\frac{u\pm v}{1\mp uv}\right),}}
    0 references
    Symbols used
    general arctangent function
    DLMF defining formula
    Arctan ⁡ z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}
    xml-id
    C4.S23.E3.m2adec
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    Identifiers

     
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