Formula:2833

Digital Library of Mathematical Functions ID 5.11.E13

${\displaystyle{\displaystyle\frac{\Gamma\left(z+a\right)}{\Gamma\left(z+b\right)}\sim z^{a-b}\sum_{k=0}^{\infty}\frac{G_{k}(a,b)}{z^{k}},}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: real or complex variable
• ${\displaystyle{\displaystyle b}}$: real or complex variable
• ${\displaystyle{\displaystyle G_{k}(a,b)}}$: coefficients (locally)
 

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