Definition:Power Series/Coefficient
< Definition:Power Series(Redirected from Definition:Coefficient of Power Series)
Jump to navigation
Jump to search
Definition
Let $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$ be a power series.
The terms:
- $a_0, a_1, \ldots, a_n, \ldots$
are the coefficients of $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$.
Sources
- 1992: Larry C. Andrews: Special Functions of Mathematics for Engineers (2nd ed.) ... (previous) ... (next): $\S 1.3.2$: Power series: $(1.39)$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): power series
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): power series