DLMF:4.35.E31 (Q1905): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: hyperbolic sine function / rank
 
Normal rank
Property / Symbols used: hyperbolic sine function / qualifier
 
test:

sinh z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}

\sinh@@{\NVar{z}}
Property / Symbols used: hyperbolic sine function / qualifier
 
xml-id: C4.S28.E1.m2asdec
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.m1ndec

Latest revision as of 18:11, 1 January 2020

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DLMF:4.35.E31
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    Statements

    sinh ( 4 z ) = 4 sinh 3 z cosh z + 4 cosh 3 z sinh z , 4 𝑧 4 3 𝑧 𝑧 4 3 𝑧 𝑧 {\displaystyle{\displaystyle\sinh\left(4z\right)=4{\sinh^{3}}z\cosh z+4{\cosh^% {3}}z\sinh z,}}
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    cosh z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    C4.S28.E2.m2atdec
    0 references
    sinh z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    C4.S28.E1.m2asdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1ndec
    0 references