Formula:8552

Digital Library of Mathematical Functions ID 26.8.E31

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \frac{1}{k!}\,\deriv[k]{}{x}f(x)=\sum_{n=k}^{\infty}\frac{\Stirlingnumbers@{n}{k}}{n!}\,\fDiff^{n}f(x),}

Symbols List

• ${\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\Delta}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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