DLMF:10.18.E16 (Q3209): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11435 / rank
 
Normal rank
Property / Symbols used: Q11435 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11435 / qualifier
 
xml-id: C10.S1.XMD4.m1odec

Revision as of 15:35, 2 January 2020

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DLMF:10.18.E16
No description defined

    Statements

    Defining formula
    θ ν ′ 2 ⁡ ( x ) + 1 2 ⁢ θ ν ′′′ ⁡ ( x ) θ ν ′ ⁡ ( x ) - 3 4 ⁢ ( θ ν ′′ ⁡ ( x ) θ ν ′ ⁡ ( x ) ) 2 = 1 - ν 2 - 1 4 x 2 . diffop phase-Bessel-Theta 𝜈 1 2 𝑥 1 2 diffop phase-Bessel-Theta 𝜈 3 𝑥 diffop phase-Bessel-Theta 𝜈 1 𝑥 3 4 superscript diffop phase-Bessel-Theta 𝜈 2 𝑥 diffop phase-Bessel-Theta 𝜈 1 𝑥 2 1 superscript 𝜈 2 1 4 superscript 𝑥 2 {\displaystyle{\displaystyle{\theta_{\nu}'^{2}}\left(x\right)+\frac{1}{2}\frac% {\theta_{\nu}'''\left(x\right)}{\theta_{\nu}'\left(x\right)}-\frac{3}{4}\left(% \frac{\theta_{\nu}''\left(x\right)}{\theta_{\nu}'\left(x\right)}\right)^{2}=1-% \frac{\nu^{2}-\tfrac{1}{4}}{x^{2}}.}}
    0 references
    DLMF id
    DLMF:10.18.E16
    0 references
    Symbols used
    Q11444
    Defining formula
    θ ν ⁡ ( x ) phase-Bessel-Theta 𝜈 𝑥 {\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S18.E3.m1ahdec
    0 references
    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1odec
    0 references
     
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