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DLMF:9.8.E4 - MaRDI portal

DLMF:9.8.E4 (Q3534)

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DLMF:9.8.E4
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    Statements

    DLMF defining formula
    θ ⁡ ( x ) = arctan ⁡ ( Ai ⁡ ( x ) / Bi ⁡ ( x ) ) . phase-Airy-Theta 𝑥 Airy-Ai 𝑥 Airy-Bi 𝑥 {\displaystyle{\displaystyle\theta\left(x\right)=\operatorname{arctan}\left(% \mathrm{Ai}\left(x\right)/\mathrm{Bi}\left(x\right)\right).}}
    0 references
    Symbols used
    Q10893
    DLMF defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1abdec
    0 references
    Q11055
    DLMF defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2abdec
    0 references
    Q10790
    DLMF defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C9.S1.XMD2.m1cdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1adec
    0 references

    Identifiers

     
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