DLMF:2.8.E20 (Q954): Difference between revisions

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Property / constraint
 

- ∞ < x ≤ c 𝑥 𝑐 {\displaystyle{\displaystyle-\infty<x\leq c}}

-\infty<x\leq c
Property / constraint: - ∞ < x ≤ c 𝑥 𝑐 {\displaystyle{\displaystyle-\infty<x\leq c}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
test:

Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

\AiryAi@{\NVar{z}}
Property / Symbols used: Q10919 / qualifier
 
xml-id: C9.S2.SS1.m1abdec
Property / Symbols used
 
Property / Symbols used: Q11081 / rank
 
Normal rank
Property / Symbols used: Q11081 / qualifier
 
test:

Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}

\AiryBi@{\NVar{z}}
Property / Symbols used: Q11081 / qualifier
 
xml-id: C9.S2.SS1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11082 / rank
 
Normal rank
Property / Symbols used: Q11082 / qualifier
 
test:

envAi ⁡ ( x ) envelope-Airy-Ai 𝑥 {\displaystyle{\displaystyle\mathrm{envAi}\left(\NVar{x}\right)}}

\envAiryAi@{\NVar{x}}
Property / Symbols used: Q11082 / qualifier
 
xml-id: C2.S8.SS3.p4.m4adec
Property / Symbols used
 
Property / Symbols used: Q11083 / rank
 
Normal rank
Property / Symbols used: Q11083 / qualifier
 
test:

envBi ⁡ ( x ) envelope-Airy-Bi 𝑥 {\displaystyle{\displaystyle\mathrm{envBi}\left(\NVar{x}\right)}}

\envAiryBi@{\NVar{x}}
Property / Symbols used: Q11083 / qualifier
 
xml-id: C2.S8.SS3.p4.m6adec
Property / Symbols used
 
Property / Symbols used: Q11084 / rank
 
Normal rank
Property / Symbols used: Q11084 / qualifier
 
test:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q11084 / qualifier
 
xml-id: C2.S8.XMD19.m1dec

Latest revision as of 16:27, 1 January 2020

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English
DLMF:2.8.E20
No description defined

    Statements

    test
    envAi ⁡ ( x ) = envBi ⁡ ( x ) = ( Ai 2 ⁡ ( x ) + Bi 2 ⁡ ( x ) ) 1 / 2 , envelope-Airy-Ai 𝑥 envelope-Airy-Bi 𝑥 superscript Airy-Ai 2 𝑥 Airy-Bi 2 𝑥 1 2 {\displaystyle{\displaystyle\mathrm{envAi}\left(x\right)=\mathrm{envBi}\left(x% \right)=\left({\mathrm{Ai}^{2}}\left(x\right)+{\mathrm{Bi}^{2}}\left(x\right)% \right)^{1/2},}}
    0 references
    DLMF id
    DLMF:2.8.E20
    0 references
    constraint
    - ∞ < x ≤ c 𝑥 𝑐 {\displaystyle{\displaystyle-\infty<x\leq c}}
    0 references
    Symbols used
    Q10919
    test
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1abdec
    0 references
    Q11081
    test
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2abdec
    0 references
    Q11082
    test
    envAi ⁡ ( x ) envelope-Airy-Ai 𝑥 {\displaystyle{\displaystyle\mathrm{envAi}\left(\NVar{x}\right)}}
    xml-id
    C2.S8.SS3.p4.m4adec
    0 references
    Q11083
    test
    envBi ⁡ ( x ) envelope-Airy-Bi 𝑥 {\displaystyle{\displaystyle\mathrm{envBi}\left(\NVar{x}\right)}}
    xml-id
    C2.S8.SS3.p4.m6adec
    0 references
    Q11084
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C2.S8.XMD19.m1dec
    0 references
     
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