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Results tagged with taylor-series
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user 48831
Taylor series is a method to analyze functions as polynomials.
11
votes
What's the summation of formal series $\sum_{n\geq0}\binom{n\delta}{n}x^n$？
The Bürmann-Lagrange theorem gives that
$$\sum_{n\geq 0} {n\delta \choose n} t^n = \frac{1}{1-\delta t(1+z)^{\delta -1}}=\frac{1+z}{1+(1-\delta) z}$$
where $z=z(t)=\sum_{n\geq 1} \frac{1}{n}{n\delta \ …
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