Formula:3323

Digital Library of Mathematical Functions ID 8.12.E18

${\displaystyle{\displaystyle\rselection{Q\left(a,z\right)\\ P\left(a,z\right)}\sim\frac{z^{a-\frac{1}{2}}e^{-z}}{\Gamma\left(a\right)}{\left(d(\pm\chi)\sum_{k=0}^{\infty}\frac{A_{k}(\chi)}{z^{k/2}}\mp\sum_{k=1}^{\infty}\frac{B_{k}(\chi)}{z^{k/2}}\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}$: normalized incomplete gamma function
• ${\displaystyle{\displaystyle Q\left(\NVar{a},\NVar{z}\right)}}$: normalized incomplete gamma function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\chi}}$: χ
• ${\displaystyle{\displaystyle d(\pm\chi)}}$: d ( ± χ )
• ${\displaystyle{\displaystyle A_{k}(\chi)}}$: A k ( χ )
• ${\displaystyle{\displaystyle B_{k}(\chi)}}$: B k ( χ )
 

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