Formula:921

Digital Library of Mathematical Functions ID 2.8.E16

${\displaystyle{\displaystyle W_{n,2}(u,\xi)=\mathrm{Bi}\left(u^{2/3}\xi\right)\left(\sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+O\left(\frac{1}{u^{2n-1}}\right)\right)+\mathrm{Bi}'\left(u^{2/3}\xi\right)\left(\sum_{s=0}^{n-2}\frac{B_{s}(\xi)}{u^{2s+(4/3)}}+O\left(\frac{1}{u^{2n-1}}\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle W_{n,j}(u,\xi)}}$: solution
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle A_{s}(\xi)}}$: coefficients
• ${\displaystyle{\displaystyle B_{s}(\xi)}}$: coefficients
• ${\displaystyle{\displaystyle u}}$: large real or complex parameter
 

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