Formula:722

Digital Library of Mathematical Functions ID 2.3.E32

${\displaystyle{\displaystyle I(\alpha,x)\sim\frac{e^{-xp(\alpha,0)}}{x^{\lambda/2}}\sum_{s=0}^{\infty}\phi_{s}(\alpha)\frac{F_{s}(a\sqrt{x})}{x^{s/2}},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle I(\alpha,x)}}$: integral (locally)
• ${\displaystyle{\displaystyle p(\alpha,t)}}$: function
• ${\displaystyle{\displaystyle a(\alpha)}}$: ⁢ a ( α )
• ${\displaystyle{\displaystyle\phi_{s}(\alpha)}}$: coefficients
• ${\displaystyle{\displaystyle F_{s}(y)}}$: function (locally)
• ${\displaystyle{\displaystyle\lambda}}$: positive constant
 

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