[PDF] Top 20 A completely monotonic for some functions

... The completely monotonic functions are useful in various branches, including mathematical analysis, probability theory and numerical analysis. Many papers have appeared providing inequalities for the ... See full document

... [26] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2007), in press. RGMIA Res. ... See full document

... logarithmically completely mono- tonic functions on (0, ∞) can be characterized as the infinitely divisible completely monotonic functions studied by Horn in [10, Theorem ... See full document

... Abstract. A function involving the divided differences of the psi function and the polygamma functions is proved to be completely monotonic. As an appli- cation of this result, the monotonicity and ... See full document

... [17] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2006), accepted. RGMIA Res. ... See full document

... the functions involving R(x) = ψ (x + 1/2) – ln x with a parameter are completely monotonic on (0, ∞), find three new sequences which are fast convergence toward the Euler-Mascheroni constant, and ... See full document

... polygamma functions in the liter- ature, many of which are closely related to the fact that ψ is completely monotonic on (0, + ∞ ...be completely monotonic on (a, b) if it has ... See full document

... logarithmically completely monotonic functions on I is denoted by ...logarithmically completely monotonic functions on (0, ∞) can be characterized as the infinitely divisible ... See full document

... logarithmically completely monotonic function is always completely monotonic, that is, L[I] ⊂ C[I], but not ...logarithmically completely monotonic functions on (0, ∞) can ... See full document

... pletely monotonic function” was introduced explicitly in [9], published formally in [8], and used immediately in [2, 4, 10, 11, ...logarithmically completely monotonic functions on (0, ∞) can ... See full document

... [14] F. Qi, B.-N. Guo, and Ch.-P. Chen, Some completely monotonic functions involving the gamma and polygamma functions, J. Austral. Math. Soc. 79 (2006), no. 1, in press. RGMIA Res. ... See full document

... Guo, S, Qi, F, Srivastava, HM: A class of logarithmically completely monotonic functions related to the gamma function with applications.. Integral Transforms Spec.[r] ... See full document

... these functions have been published, we refer to the paper [1] and [2], and the references given ...be completely monotonic on an interval I, if f has derivatives of all orders on I and ... See full document

... the completely monotonic functions and the logarithmically completely monotonic functions on I are denoted respectively by C[I] and ... See full document

... the completely monotonic or logarithmically completely monotonic func- tions have been the subject of intensive ...polygamma functions can be found in the literature 18, 19, ... See full document

... [4] F. Guo, Complete monotonicities of functions involving the gamma and digamma functions, RGMIA Res. Available online at http://rgmia. Qi) Department of Applied Mathematics and Informa[r] ... See full document

... Recently, the completely monotonic or logarithmically completely monotonic func- tions have been the subject of intensive research. In particular, many complete mono- tonicity and ... See full document

... [1] M. Abramowitz and I. A. Stegun (Eds), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Reprint of the 1972 edition. A Wiley-Interscience Pub- lication. Selected Government ... See full document

... transforms, some asymptotic formulas and integral representations of the gamma function Γ, the psi or digamma function ψ and the polygamma or multigamma functions ψ (k) (x) for k ∈ N, ... See full document

... q-gamma functions from properties of completely monotonic functions, by applying them to functions related to ψ 0 or ψ 0 q ...obtain some results on gamma and q-gamma ... See full document