Formula:112

Digital Library of Mathematical Functions ID 1.5.E18

${\displaystyle{\displaystyle f(a+\lambda,b+\mu)=f+\left(\lambda\frac{\partial}{\partial x}+\mu\frac{\partial}{\partial y}\right)f+\dots+\frac{1}{n!}\left(\lambda\frac{\partial}{\partial x}+\mu\frac{\partial}{\partial y}\right)^{n}f+R_{n},}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle R_{n}}}$: remainder
 

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