Formula:9656

Digital Library of Mathematical Functions ID 30.16.E4

${\displaystyle{\displaystyle\alpha_{p,d}-\lambda^{m}_{n}\left(\gamma^{2}\right)=O\left(\frac{\gamma^{4d}}{4^{2d+1}((m+2d-1)!(m+2d+1)!)^{2}}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle d\to\infty}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2}}\right)}}$:
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n\geq m}}$: integer degree
• ${\displaystyle{\displaystyle d}}$: dimension
• ${\displaystyle{\displaystyle\alpha_{j,k}}}$: real eigenvalues
• ${\displaystyle{\displaystyle\gamma^{2}}}$: real parameter
 

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