Formula:8959

Digital Library of Mathematical Functions ID 28.8.E2

${\displaystyle{\displaystyle b_{m+1}\left(h^{2}\right)-a_{m}\left(h^{2}\right)=\frac{2^{4m+5}}{m!}\left(\frac{2}{\pi}\right)^{\ifrac{1}{2}}h^{m+(\ifrac{3}{2})}e^{-4h}\*{\left(1-\frac{6m^{2}+14m+7}{32h}+O\left(\frac{1}{h^{2}}\right)\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle a_{\NVar{n}}\left(\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle h}}$: parameter
 

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