In mathematics, a multisection of a power series is a new power series composed of equally spaced terms extracted unaltered from the original series. Formally, if one is given a power series ∑ n = − ∞ ∞ a n ⋅ z n {\displaystyle \sum _{n=-\infty }^{\infty }a_{n}\cdot z^{n}} then its multisection is a power series of the form ∑ m = − ∞ ∞ a q m + p ⋅ z q m + p {\displaystyle \sum _{m=-\infty }^{\infty }a_{qm+p}\cdot z^{qm+p}} where p, q are integers, with 0 ≤ p < q.
In mathematics, a multisection of a power series is a new power series composed of equally spaced terms extracted unaltered from the original series. Formally, if one is given a power series ∑ n = − ∞ ∞ a n ⋅ z n {\displaystyle \sum _{n=-\infty }^{\infty }a_{n}\cdot z^{n}} then its multisection is a power series of the form ∑ m = − ∞ ∞ a q m + p ⋅ z q m + p {\displaystyle \sum _{m=-\infty }^{\infty }a_{qm+p}\cdot z^{qm+p}} where p, q are integers, with 0 ≤ p < q.
Source: Wikipedia "Series multisection" · CC BY-SA 4.0
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