Formula:973

Digital Library of Mathematical Functions ID 2.10.E15

${\displaystyle{\displaystyle j^{\alpha}-(j+1)^{\alpha}=-\alpha j^{\alpha-1}+\alpha(\alpha-1)O\left(j^{\alpha-2}\right)}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
 

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