Formula:3281

Digital Library of Mathematical Functions ID 8.11.E10

${\displaystyle{\displaystyle P\left(a+1,x\right)=\tfrac{1}{2}\operatorname{erfc}\left(-y\right)-\frac{1}{3}\sqrt{\frac{2}{\pi a}}(1+y^{2})e^{-y^{2}}+O\left(a^{-1}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}$: complementary error function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}$: normalized incomplete gamma function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle y}}$: change of variable
 

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