Formula:849

Digital Library of Mathematical Functions ID 2.6.E53

${\displaystyle{\displaystyle{\left|\delta_{n}(x)\right|}\leq\frac{\Gamma\left(\mu+1\right)\Gamma\left(1-\alpha\right)}{\Gamma\left(\mu+1-\alpha\right)\Gamma\left(n+\alpha\right)}\*\sum_{j=0}^{n}\dbinom{n}{j}\frac{\Gamma\left(n+\alpha-j\right)}{\left|\Gamma\left(\mu+1-j\right)\right|}x^{\mu-\alpha}}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\mu}}$: order
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\delta_{n}(x)}}$: sum
 

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