DLMF:13.8.E7

MaRDI QIDQ5129

• Label: DLMF:13.8.E7

Digital Library of Mathematical Functions ID 13.8.E7

${\displaystyle{\displaystyle U\left(a,b,b\right)=\sqrt{\pi}\left(2b\right)^{-\frac{1}{2}a}\left(\frac{1}{\Gamma\left(\frac{1}{2}(a+1)\right)}-\frac{(a+1)\sqrt{8/b}}{3\Gamma\left(\frac{1}{2}a\right)}+O\left(\frac{1}{b}\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$: Kummer confluent hypergeometric function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
 

Resources that cite this formula

Could not fetch data.