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For λ ∊ (0,2), let k(λ) denote the smallest positive value of k so that the truncated power function φλ, k
(t) = (1-|t|λ)
k
+ is positive definite. We give lower and upper estimates of Kuttner's function k(λ) through detailed numerical and symbolic computations, and we show analytically that 
for n ∊ N.
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