DLMF:4.23.E31 (Q1783)

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DLMF:4.23.E31
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    Statements

    Defining formula
    w = Arcsin ⁡ z = ( - 1 ) k ⁢ arcsin ⁡ z + k ⁢ π , 𝑤 multivalued-inverse-sine 𝑧 superscript 1 𝑘 𝑧 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arcsin}z=(-1)^{k}\operatorname{% arcsin}z+k\pi,}}
    0 references
    DLMF id
    DLMF:4.23.E31
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ajdec
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    Q11242
    Defining formula
    arcsin ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m5agdec
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    general arcsine function
    Defining formula
    Arcsin ⁡ z multivalued-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}}
    xml-id
    C4.S23.E1.m2abdec
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    Q11219
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C4.S1.XMD1.m1dec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1zdec
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