Formula:10477

Digital Library of Mathematical Functions ID 35.4.E1

${\displaystyle{\displaystyle{\left[a\right]_{\kappa}}=\frac{\Gamma_{m}\left(a+\kappa\right)}{\Gamma_{m}\left(a\right)}=\prod_{j=1}^{m}{\left(a-\tfrac{1}{2}(j-1)\right)_{k_{j}}},}}$

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$:
• ${\displaystyle{\displaystyle a}}$: complex variable
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle m}}$: positive integer
 

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