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DLMF:4.7.E15 - MaRDI portal

DLMF:4.7.E15 (Q1663)

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DLMF:4.7.E15
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    Statements

    DLMF defining formula
    w = A ⁢ e a ⁢ z + B ⁢ e - a ⁢ z , 𝑤 𝐴 superscript 𝑒 𝑎 𝑧 𝐵 superscript 𝑒 𝑎 𝑧 {\displaystyle{\displaystyle w=Ae^{\sqrt{a}z}+Be^{-\sqrt{a}z},}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
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    real or complex constant
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1edec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1ndec
    0 references
    arbitrary constant
    DLMF defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C4.S7.XMD3.m1dec
    0 references
    arbitrary constant
    DLMF defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C4.S7.XMD4.m1dec
    0 references
     
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