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DLMF:11.4.E15 - MaRDI portal

DLMF:11.4.E15 (Q4644)

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DLMF:11.4.E15
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    Statements

    DLMF defining formula
    | ϑ | < 2 3 ⁢ exp ⁡ ( 1 4 ⁢ | z | 2 | ν 0 + 3 2 | - 1 ) , italic-ϑ 2 3 1 4 superscript 𝑧 2 subscript 𝜈 0 3 2 1 {\displaystyle{\displaystyle|\vartheta|<\frac{2}{3}\exp\left(\frac{\tfrac{1}{4% }|z|^{2}}{|\nu_{0}+\tfrac{3}{2}|}-1\right),}}
    0 references
    Symbols used
    exponential function
    DLMF defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1mdec
    0 references
    real or complex order
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1bdec
    0 references

    Identifiers

     
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