DLMF:10.56.E4 (Q3768): 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.m2adec

Revision as of 14:16, 2 January 2020

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DLMF:10.56.E4
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    Statements

    test
    sinh ⁡ z 2 + 2 ⁢ i ⁢ z ⁢ t z = sinh ⁡ z z + ∑ n = 1 ∞ ( i ⁢ t ) n n ! ⁢ 𝗂 n - 1 ( 2 ) ⁡ ( z ) , superscript 𝑧 2 2 𝑖 𝑧 𝑡 𝑧 𝑧 𝑧 superscript subscript 𝑛 1 superscript 𝑖 𝑡 𝑛 𝑛 spherical-Bessel-I-2 𝑛 1 𝑧 {\displaystyle{\displaystyle\frac{\sinh\sqrt{z^{2}+2izt}}{z}=\frac{\sinh z}{z}% +\sum_{n=1}^{\infty}\frac{(it)^{n}}{n!}{\mathsf{i}^{(2)}_{n-1}}\left(z\right),}}
    0 references
    DLMF id
    DLMF:10.56.E4
    0 references
    Symbols used
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5acdec
    0 references
    hyperbolic sine function
    test
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2adec
    0 references
     
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