Formula:4363

Digital Library of Mathematical Functions ID 10.46.E1

${\displaystyle{\displaystyle\phi\left(\rho,\beta;z\right)=\sum_{k=0}^{\infty}\frac{z^{k}}{k!\Gamma\left(\rho k+\beta\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle\rho>-1}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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