(k − 1)! h (k−1)!

(k − 1)! h (k−1)! (903)

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[arxiv.org]

by Feng Qi , Bai-ni Guo , Ψ(k I/k

BibTeX

@MISC{Qi903(k−,
    author = {Feng Qi and Bai-ni Guo and Ψ(k I/k},
    title = {(k − 1)! h (k−1)!},
    year = {903}
}

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Abstract

Abstract. The main aim of this paper is to prove that the double inequality

Citations

1366	Handbook of Mathematical Functions - Abramowitz, Stegun - 1964
185	The Laplace Transform - Widder - 1946
23	On some inequalities for the gamma and psi functions - Alzer - 1997
20	Some completely monotonic functions involving the Gamma and polygamma functions RGMIA Res - Qi, Guo, et al.
18	Generalizations of a theorem of I - Qi, Li, et al.
15	Complete monotonicities of functions involving the Gamma and Digamma functions - Qi, Guo - 2004
12	Integral representation of some functions related to the gamma function - Berg
11	Sharp inequalities for the digamma and polygamma functions - Alzer
11	A complete monotonicity property of the gamma function - Qi, Chen
10	Some properties of a class of logarithmically completely monotonic functions - Atanassov, Tsoukrovski - 1988
10	Completely monotonic functions involving the gamma and q-gamma functions - Grinshpan, Ismail
10	Note on a class of completely monotonic functions involving the polygamma functions - Qi, Guo, et al.
9	Some new inequalities for gamma and polygamma functions - Batir
9	The best bounds in Gautschi’s inequality - Elezović, Giordano, et al.
9	Three classes of logarithmically completely monotonic functions involving gamma and psi functions - Qi
8	Logarithmically completely monotonic functions relating to the gamma function - Chen, Qi
8	Bounds for the ratio of two gamma functions - Qi
7	On infinitely divisible matrices, kernels and functions, Z. Wahrscheinlichkeitstheorie und Verw - Horn - 1967
7	Inequalities and monotonicity properties for gamma and q-gamma functions - Ismail, Muldoon - 1994
7	Some monotonicity properties and characterizations of the gamma function - Muldoon - 1978
7	The best bounds in Kershaw’s inequality and two completely monotonic functions - Qi
5	On some properties of digamma and polygamma functions - Batir
5	Two logarithmically completely monotonic functions connected with gamma function - Qi, Yang, et al.
5	Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic - Qi, Guo - 2009
4	Grinshpan, Inequalities for the gamma and q-gamma functions - Alzer, Z
4	An Interesting Double Inequality for Euler’s Gamma Function - Batir - 2004
4	On Wallis’ formula - Kazarinoff - 1956
4	Remarks on some completely monotonic functions - Koumandos
4	Some properties of the psi and polygamma functions, submitted - Qi, Guo
3	Logarithmic convexity and inequalities for the gamma function - Merkle - 1996
3	Bounds for the ratio of two gamma functions—From Wendel’s and related inequalities to logarithmically completely monotonic functions, submitted - Qi
3	A new proof of complete monotonicity of a function involving psi function - Qi, Guo
2	Inequalities for the gamma function relating to asymptotic expasions - Allasia, Giordano, et al.
2	Inequalities for the gamma function - Batir
2	Some monotonicity properties of gamma and q-gamma functions, Available onlie at http://arxiv.org/abs/0709.1126v2 - Gao
2	Complete monotonicity results of divided difference of psi functions and new bounds for ratio of two gamma functions, submitted - Qi, Cerone, et al.
2	A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, submitted - Qi, Guo
2	Sharp inequalities for the psi function and harmonic numbers, Available online at - Qi, Guo
1	Supplements to a class of logarithmically completely monotonic functions associated with the gamma function - Guo, Qi, et al.
1	Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic, Integral Transforms Spec. Funct - Guo, Qi, et al.
1	Complete monotonicity results of a function involving the divided difference of two psi functions and consequences, submitted - Qi
1	Complete monotonicity of a polygamma function plus the square of another polygamma function, submitted - Qi, Guo
1	Complete monotonicity of some functions involving polygamma functions, submitted - Qi, Guo, et al.