DLMF:12.2.E23 (Q4108)

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DLMF:12.2.E23
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    Statements

    Defining formula
    U ′ ⁡ ( a , x ) + i ⁢ U ¯ ′ ⁡ ( a , x ) = - G ⁢ ( a , x ) ⁢ e i ⁢ ψ ⁢ ( a , x ) , diffop parabolic-U 1 𝑎 𝑥 𝑖 diffop parabolic-U-bar 1 𝑎 𝑥 𝐺 𝑎 𝑥 superscript 𝑒 𝑖 𝜓 𝑎 𝑥 {\displaystyle{\displaystyle U'\left(a,x\right)+i\overline{U}'\left(a,x\right)% =-G(a,x)e^{i\psi(a,x)},}}
    0 references
    DLMF id
    DLMF:12.2.E23
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2afdec
    0 references
    Q11320
    Defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1andec
    0 references
    Q11519
    Defining formula
    U ¯ ⁡ ( a , x ) parabolic-U-bar 𝑎 𝑥 {\displaystyle{\displaystyle\overline{U}\left(\NVar{a},\NVar{x}\right)}}
    xml-id
    C12.S2.SS6.p1.m4abdec
    0 references
    Q11520
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C12.S1.XMD1.m1bdec
    0 references
     
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