DLMF:9.12.E8 (Q2936): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Scorer function (inhomogeneous Airy function) / rank
 
Normal rank
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
Defining formula:

Gi ( z ) Scorer-Gi 𝑧 {\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}

\ScorerGi@{\NVar{z}}
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
xml-id: C9.S12.E4.m2aedec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10817 / rank
 
Normal rank
Property / Symbols used: Q10817 / qualifier
 
Defining formula:

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

\phase
Property / Symbols used: Q10817 / qualifier
 
xml-id: C1.S9.E7.m1adec
Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1edec

Latest revision as of 14:52, 2 January 2020

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DLMF:9.12.E8
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    Statements

    - Gi ( z ) , Ai ( z ) , Bi ( z ) , Scorer-Gi 𝑧 Airy-Ai 𝑧 Airy-Bi 𝑧 {\displaystyle{\displaystyle-\mathrm{Gi}\left(z\right),\mathrm{Ai}\left(z% \right),\mathrm{Bi}\left(z\right),}}
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    DLMF:9.12.E8
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    | ph z | 1 3 π phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi}}
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1abdec
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    Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    C9.S2.SS1.m2addec
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    Gi ( z ) Scorer-Gi 𝑧 {\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}
    C9.S12.E4.m2aedec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
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    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    C1.S9.E7.m1adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C9.S1.XMD3.m1edec
    0 references