DLMF:26.14.E4

MaRDI QIDQ8648

• Label: DLMF:26.14.E4

Digital Library of Mathematical Functions ID 26.14.E4

${\displaystyle{\displaystyle\sum_{n,k=0}^{\infty}\genfrac{<}{>}{0.0pt}{}{n}{k}x^{k}\,\frac{t^{n}}{n!}=\frac{1-x}{\exp((x-1)t)-x},}}$

Constraint(s)

${\displaystyle{\displaystyle|x|<1,|t|<1}}$

Symbols List

• ${\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}$:
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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