English-French translations for taylor series

• série de Taylor

Definition of taylor series

• A power series representation of given infinitely differentiable function $\backslash textstyle\; f$ whose terms are calculated from the function's arbitrary order derivatives at given reference point $\backslash textstyle\; a$; the series $\backslash textstyle\; f+\backslash frac\; \{f\text{'}\}\{1!\}\; +\; \backslash frac\{f\text{'}\text{'}\}\{2!\}\; ^2+\backslash frac\{f\text{'}\text{'}\text{'}\}\{3!\}^3+\; \backslash cdots\; =\; \backslash sum\_\{n=0\}\; ^\; \{\backslash infty\}\; \backslash frac\; \{f^\{\}\}\{n!\}\; ^\{n\}$

Related words

• Taylor
• Taylorian
• Taylorism
• Taylorist
• Taylor polynomial