Formula:9392

Digital Library of Mathematical Functions ID 29.7.E5

${\displaystyle{\displaystyle b^{m+1}_{\nu}\left(k^{2}\right)-a^{m}_{\nu}\left(k^{2}\right)=O\left(\nu^{m+\frac{3}{2}}\left(\frac{1-k}{1+k}\right)^{\nu}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\to\infty}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle a^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right)}}$:
• ${\displaystyle{\displaystyle b^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right)}}$:
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle\nu}}$: real parameter
 

Resources that cite this formula

No records found.