Formal power series
Infinite sum that is considered independently from any notion of convergence
Infinite sum that is considered independently from any notion of convergence
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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