Common

Formal power series

Infinite sum that is considered independently from any notion of convergence

Formal power series

Common card · No. 384267

In mathematics, a formal series is an infinite sum that is considered independently from any notion of convergence, and can be manipulated with the usual algebraic operations on series (addition, subtraction, multiplication, division, partial sums, etc.). A formal power series is a special kind of formal series, of the form ∑ n = 0 ∞ a n x n = a 0 + a 1 x + a 2 x 2 + ⋯ , {\displaystyle \sum _{n=0}^{\infty }a_{n}x^{n...

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