Formula:3251

Digital Library of Mathematical Functions ID 8.9.E2

${\displaystyle{\displaystyle z^{-a}e^{z}\Gamma\left(a,z\right)=\cfrac{z^{-1}}{1+\cfrac{(1-a)z^{-1}}{1+\cfrac{z^{-1}}{1+\cfrac{(2-a)z^{-1}}{1+\cfrac{2z^{-1}}{1+\cfrac{(3-a)z^{-1}}{1+\cfrac{3z^{-1}}{1+\cdots}}}}}}},}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}$: incomplete gamma function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
 

Resources that cite this formula

No records found.