DLMF:2.3.E32 (Q752): Difference between revisions

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x 𝑥 {\displaystyle{\displaystyle x\to\infty}}

x\to\infty
Property / constraint: x 𝑥 {\displaystyle{\displaystyle x\to\infty}} / rank
 
Normal rank

Revision as of 16:52, 30 December 2019

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DLMF:2.3.E32
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    Statements

    I ( α , x ) e - x p ( α , 0 ) x λ / 2 s = 0 ϕ s ( α ) F s ( a x ) x s / 2 , asymptotic-expansion 𝐼 𝛼 𝑥 superscript 𝑒 𝑥 𝑝 𝛼 0 superscript 𝑥 𝜆 2 superscript subscript 𝑠 0 subscript italic-ϕ 𝑠 𝛼 subscript 𝐹 𝑠 𝑎 𝑥 superscript 𝑥 𝑠 2 {\displaystyle{\displaystyle I(\alpha,x)\sim\frac{e^{-xp(\alpha,0)}}{x^{% \lambda/2}}\sum_{s=0}^{\infty}\phi_{s}(\alpha)\frac{F_{s}(a\sqrt{x})}{x^{s/2}}% ,}}
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    DLMF:2.3.E32
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    x 𝑥 {\displaystyle{\displaystyle x\to\infty}}
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