[PDF] Top 20 Some conditions for a class of functions to be completely monotonic
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Some conditions for a class of functions to be completely monotonic
... 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
7
Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
... sufficient conditions such that 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 ... See full document
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality
... 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
10
Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic
... A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, ... See full document
11
A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality
... necessary conditions such that a class of functions which involve the psi function ψ and the ratio Γ(x+s) Γ(x+t) are logarithmically completely monotonic are established, the best ... See full document
14
A Class of Logarithmically Completely Monotonic Functions and Application to the Best Bounds in the Second Gautschi-Kershaw's Inequality
... the completely monotonic functions and the logarithmically completely monotonic functions on I are denoted respectively by C[I] and ... See full document
7
Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions
... of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions ... See full document
7
Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
... 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
8
Note on a Class of Completely Monotonic Functions Involving the Polygamma Functions
... [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
8
A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
... 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
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Two Class of Completely Monotonic Functions Involving Gamma and Polygamma Functions
... [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
9
A New Lower Bound in the Second Kershaw's Double Inequality
... A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, ... See full document
8
Logarithmically Completely Monotonic Functions Involving Gamma and Polygamma Functions
... studying completely monotonic functions is the connection between infinitely divisible probability distributions (measure) on R and [0, ∞) and completely monotonic functions ... See full document
7
Notes on three conjectures involving the digamma and generalized digamma functions
... Zhao, T.-H., Chu, Y.-M.: A class of logarithmically completely monotonic functions associated with a gamma function.. Zhao, T.-H., Chu, Y.-M., Jiang, Y.-P.: Monotonic and logarithmically[r] ... See full document
12
Refinements, Extensions and Generalizations of the Second Kershaw's Double Inequality
... conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic , RGMIA Res. Chen, The best bounds in Gautschi-Kershaw inequalities , Mat[r] ... See full document
8
A certain class of completely monotonic sequences
... the completely monotonic sequences. We shall give some necessary conditions, a sufficient condition and a necessary and sufficient condition for sequences to be completely ... See full document
9
Some Monotonicity Properties of the q-Gamma Function
... 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
5
Two Logarithmically Completely Monotonic Functions Connected with Gamma Function
... 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
7
Bounds for the Ratio of Two Gamma Functions
... For more information on bounding Gurland’s ratio, please refer to 20, 44, 96, 97 and related references therein. However, there does not exist a general identity similar to 3.12 between Gurland’s ratio and the ratio of ... See full document
84
Some inequalities involving the polygamma functions
... sufficient conditions for α ∈ R such that the function F(x; α, β) is strictly increasing (decreasing) and concave (convex) on (max(0, –β), ∞) for β ∈ (–∞, 0] (β ∈ [1/2, ...sufficient conditions such that the ... See full document
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