DLMF:10.21.E23 (Q3307): Difference between revisions

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Property / Symbols used: Q10931 / rank
 
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Property / Symbols used: Q10931 / qualifier
 
Defining formula:

asymptotic-expansion {\displaystyle{\displaystyle\sim}}

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11addec

Revision as of 15:43, 2 January 2020

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DLMF:10.21.E23
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    𝒞 ν ( ρ ν ( t ) ) ( 2 / ν ) 2 3 π M ( - 2 1 3 α ) k = 0 β k ν 2 k / 3 , asymptotic-expansion diffop cylinder-function 𝜈 1 subscript 𝜌 𝜈 𝑡 superscript 2 𝜈 2 3 𝜋 modulus-Airy-M superscript 2 1 3 𝛼 superscript subscript 𝑘 0 subscript 𝛽 𝑘 superscript 𝜈 2 𝑘 3 {\displaystyle{\displaystyle\mathscr{C}_{\nu}'\left(\rho_{\nu}(t)\right)\sim% \frac{(2/\nu)^{\frac{2}{3}}}{\pi M\left(-2^{\frac{1}{3}}\alpha\right)}\sum_{k=% 0}^{\infty}\frac{\beta_{k}}{\nu^{2k/3}},}}
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    DLMF:10.21.E23
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    asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    C2.S1.SS3.p1.m11addec
    0 references