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Numerical algorithms for problems in analysis and algebra, scientific computation

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Numerical problems floating-point arithmetic

I am trying to calculate the following function in floating-point arithmetic. $$f(c,z)=\frac{(c-1)z}{(z-1)^2}\left( \sum_{k=2}^{c-1}\frac{1}{c-k}\left(\frac{z-1}{z}\right)^k-\left(\frac{z-1}{z}\right …
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