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The GFB Tree and Tree Imbalance Indices. [PDF]

open access: yesBull Math Biol
Cleary S, Fischer M, St John K.
europepmc   +1 more source

Monotone completeness and convergence theorem

open access: yesMonotone completeness and convergence theorem
openaire  

Delta Complete Monotonicity and Completely Monotonic Degree on Time Scales

Bulletin of the Malaysian Mathematical Sciences Society, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong-Xuan Mao, Jing-Feng Tian
openaire   +2 more sources

Some Absolutely Monotonic and Completely Monotonic Functions

SIAM Journal on Mathematical Analysis, 1974
The 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
openaire   +2 more sources

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