Guo, Senlin; Srivastava, H. M. A certain function class related to the class of logarithmically completely monotonic functions. (English) Zbl 1171.26319 Math. Comput. Modelling 49, No. 9-10, 2073-2079 (2009). Summary: We introduce and investigate the notion of strongly logarithmically completely monotonic functions. Among other results, we present some properties and relationships involving this function class and several closely-related function classes. Cited in 11 Documents MSC: 26A48 Monotonic functions, generalizations Keywords:completely monotonic functions; logarithmically completely monotonic functions; strongly completely monotonic functions; strongly logarithmically completely monotonic functions; multinomial coefficients PDF BibTeX XML Cite \textit{S. Guo} and \textit{H. M. Srivastava}, Math. Comput. Modelling 49, No. 9--10, 2073--2079 (2009; Zbl 1171.26319) Full Text: DOI References: [1] Mitrinović, D.S.; Pečarić, J.E., (), (Serbo-Croatian) [2] Widder, D.V., The Laplace transform, (1966), Princeton University Press Princeton, New Jersey · Zbl 0148.10902 [3] Atanassov, R.D.; Tsoukrovski, U.V., Some properties of a class of logarithmically completely monotonic functions, C. R. acad. bulgare sci., 41, 21-23, (1988) · Zbl 0658.26010 [4] Qi, F.; Chen, C.-P., A complete monotonicity property of the gamma function, J. math. anal. appl., 296, 603-607, (2004) · Zbl 1046.33001 [5] Guo, S.; Qi, F.; Srivastava, H.M., Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic, Integral transforms spec. funct., 18, 819-826, (2007) [6] Guo, S.; Qi, F.; Srivastava, H.M., Supplements to a class of logarithmically completely monotonic functions associated with the gamma function, Appl. math. comput., 197, 768-774, (2008) · Zbl 1139.33300 [7] Guo, S.; Srivastava, H.M., A class of logarithmically completely monotonic functions, Appl. math. lett., 21, 1134-1141, (2008) · Zbl 1202.33002 [8] Horn, R.A., On infinitely divisible matrices, kernels, and functions, Z. wahrscheinlichkeitstheor. verwandte. geb., 8, 219-230, (1967) · Zbl 0314.60017 [9] Trimble, S.Y.; Wells, J.; Wright, F.T., Superadditive functions and a statistical application, SIAM J. math. anal., 20, 1255-1259, (1989) · Zbl 0688.44002 [10] Gradshteyn, I.S.; Ryzhik, I.M., Table of integrals, series, and products, (2000), Academic Press New York · Zbl 0981.65001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.