Confirmation of unidimensionality of the Dermatology Life Quality Index (DLQI) using a multinational 3,408 patient dataset. [PDF]
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Delta Complete Monotonicity and Completely Monotonic Degree on Time Scales
Bulletin of the Malaysian Mathematical Sciences Society, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing-Feng Tian, Tian Jing-Feng
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A Graphical Method for Checking Complete Monotonicity
IEEE Transactions on Computers, 1971Complete monotonicity is a necessary condition for linear separability of a switching function and it is equivalent to the 2-asummable property. A test for this property using a tabular representation of a switching function and an easily generated test card is given. This method may be used reasonably well up to six variables.
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Complete monotonicity results for some functions involving the gamma and polygamma functions
In this paper we prove new complete monotonicity properties of some functions involving the gamma function. As consequences of them we establish various new upper and lower bounds for the gamma function and the harmonic numbers.
Hamdullah Şevli
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Some Absolutely Monotonic and Completely Monotonic Functions
SIAM Journal on Mathematical Analysis, 1974The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Askey, Richard, Pollard, Harry
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