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Some completely monotonic functions involving the q-gamma function [PDF]
Mathematical Inequalities & Applications, 2014 We present some completely monotonic functions involving the $q$-gamma function that are inspired by their analogues involving the gamma function.
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Interpolation of completely monotone functions
Monatshefte f�r Mathematik, 1982 Intervals in which Lagrange interpolation polynomials converge pointwise to the interpolated function are specified for a family of functions comprising all completely monotone functions.
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Rényi mutual information inequalities from Rindler positivity
Journal of High Energy Physics, 2019 Rindler positivity is a property that holds in any relativistic Quantum Field Theory and implies an infinite set of inequalities involving the exponential of the Rényi mutual information I n (A i , A ¯ $$ \overline{A} $$ j ) between A i and A ...
David Blanco +3 more
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A completely monotone function related to the Gamma function
Journal of Computational and Applied Mathematics, 2001 The authors consider the function \[ f(z) = {\log{\Gamma(z+1)} \over z\log{z}} , \] which is holomorphic in \(\mathbb C \setminus (-\infty,0]\), and they show that the reciprocal function \(1/f\) can be represented as a Stieltjes transform. From this it follows that the derivative \(f'\) is completely monotone, that is \((-1)^{n-1}f^{(n)}(x) \geq 0 ...
Berg, Christian, Pedersen, Henrik L.
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Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016 We studied the effect of CdSO4 and Pb(NO3)2 salts in 10-5M, 10-4M and 10-3M concentrations on some physiological indices of growth and development in plants of triticale (Triticosecale Wittm.) cultivar PRAG-530.
Gulyara Abilova
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Null energy constraints on two-dimensional RG flows
Journal of High Energy PhysicsWe study applications of spectral positivity and the averaged null energy condition (ANEC) to renormalization group (RG) flows in two-dimensional quantum field theory.
Thomas Hartman, Grégoire Mathys
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KKU Engineering Journal, 2016 Parkinson’s and stroke diseases are closely linked to the brain of the elderly. This study was to investigate the early detecting method of Parkinson’s disease by using the relation between the brain time response and the arm movement characteristics ...
Prasert Namwet +2 more
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Remarks on some completely monotonic functions
Journal of Mathematical Analysis and Applications, 2006 Applying the Euler-Maclaurin summation formula, the author proves that for all \(n=1,2,3,...\) and \(x>0\) \[ 1-\frac{x}{2}+\sum_{j=1}^{2m}\frac{B_{2j}}{(2j)!}x^{2j}
Koumandos, S., Koumandos, S.
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Mittag-Leffler functions and complete monotonicity [PDF]
Integral Transforms and Special Functions, 2014 One ...
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Tuning the mammalian circadian clock: robust synergy of two loops.
PLoS Computational Biology, 2011 The circadian clock is accountable for the regulation of internal rhythms in most living organisms. It allows the anticipation of environmental changes during the day and a better adaptation of physiological processes.
Angela Relógio +5 more
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