Formula:10472

Digital Library of Mathematical Functions ID 35.3.E4

${\displaystyle{\displaystyle\Gamma_{m}\left(a\right)=\pi^{m(m-1)/4}\prod_{j=1}^{m}\Gamma\left(a-\tfrac{1}{2}(j-1)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}$:
• ${\displaystyle{\displaystyle a}}$: complex variable
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle m}}$: positive integer
 

Resources that cite this formula

No records found.