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Results tagged with generating-functions
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user 49208
A generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of a formal power series. Tag questions involving generating functions in this.
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votes
Hypergeometric sum specific value
You may use the general formula from Brychkov, Prudnikov, Marichev, Integral and Series, Vol.3:
$$
_{2}F_{1}(1,1;\frac{1}{2};x)=(1-x)^{-1}\left(1+\frac{\sqrt{x}\arcsin{\sqrt{x}}}{\sqrt{1-x}}\right)
$$ …
- 1,560