DLMF:28.26.E3 (Q8419): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12294 / rank
 
Normal rank
Property / Symbols used: Q12294 / qualifier
 
test:

h {\displaystyle{\displaystyle h}}

h
Property / Symbols used: Q12294 / qualifier
 
xml-id: C28.S1.XMD11.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12310 / rank
 
Normal rank
Property / Symbols used: Q12310 / qualifier
 
test:

ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}

\phi
Property / Symbols used: Q12310 / qualifier
 
xml-id: C28.S26.XMD1.m1bdec

Latest revision as of 14:15, 2 January 2020

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English
DLMF:28.26.E3
No description defined

    Statements

    ϕ = 2 h sinh z - ( m + 1 2 ) arctan ( sinh z ) . italic-ϕ 2 𝑧 𝑚 1 2 𝑧 {\displaystyle{\displaystyle\phi=2h\sinh z-\left(m+\tfrac{1}{2}\right)% \operatorname{arctan}\left(\sinh z\right).}}
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    sinh z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    C4.S28.E1.m2adec
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    arctan z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    C4.S23.SS2.p1.m7adec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C28.S1.XMD1.m1bdec
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    h {\displaystyle{\displaystyle h}}
    C28.S1.XMD11.m1bdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1bdec
    0 references
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    C28.S26.XMD1.m1bdec
    0 references