DLMF:4.23.E31 (Q1783): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: general arcsine function / rank
 
Normal rank
Property / Symbols used: general arcsine function / qualifier
 
Defining formula:

Arcsin z multivalued-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}}

\Asin@@{\NVar{z}}
Property / Symbols used: general arcsine function / qualifier
 
xml-id: C4.S23.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11219 / rank
 
Normal rank
Property / Symbols used: Q11219 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11219 / qualifier
 
xml-id: C4.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1zdec

Latest revision as of 18:34, 1 January 2020

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DLMF:4.23.E31
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    Statements

    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,}}
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    DLMF:4.23.E31
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2ajdec
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    arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    C4.S23.SS2.p1.m5agdec
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    Arcsin z multivalued-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}}
    C4.S23.E1.m2abdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C4.S1.XMD1.m1dec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1zdec
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