1.

R. D. Atanassov and U. V. Tsoukrovski, “Some properties of a class of logarithmically completely monotonic functions,” Comptes Rendus de l'Académie Bulgare des Sciences, vol. 41, no. 2, pp. 21–23, 1988. MR939205 0658.26010 R. D. Atanassov and U. V. Tsoukrovski, “Some properties of a class of logarithmically completely monotonic functions,” Comptes Rendus de l'Académie Bulgare des Sciences, vol. 41, no. 2, pp. 21–23, 1988. MR939205 0658.26010

2.

D. V. Widder, The Laplace Transform, Princeton University Press, Princeton, NJ, USA, 1941. MR0005923 D. V. Widder, The Laplace Transform, Princeton University Press, Princeton, NJ, USA, 1941. MR0005923

3.

S. Guo and H. M. Srivastava, “A certain function class related to the class of logarithmically completely monotonic functions,” Mathematical and Computer Modelling, vol. 49, no. 9-10, pp. 2073–2079, 2009. MR2532112 1171.26319 10.1016/j.mcm.2009.01.002 S. Guo and H. M. Srivastava, “A certain function class related to the class of logarithmically completely monotonic functions,” Mathematical and Computer Modelling, vol. 49, no. 9-10, pp. 2073–2079, 2009. MR2532112 1171.26319 10.1016/j.mcm.2009.01.002

4.

H. M. Srivastava, S. Guo, and F. Qi, “Some properties of a class of functions related to completely monotonic functions,” Computers & Mathematics with Applications, vol. 64, no. 6, pp. 1649–1654, 2012. MR2960791 1268.26017 H. M. Srivastava, S. Guo, and F. Qi, “Some properties of a class of functions related to completely monotonic functions,” Computers & Mathematics with Applications, vol. 64, no. 6, pp. 1649–1654, 2012. MR2960791 1268.26017

5.

S. Y. Trimble, J. Wells, and F. T. Wright, “Superadditive functions and a statistical application,” SIAM Journal on Mathematical Analysis, vol. 20, no. 5, pp. 1255–1259, 1989. MR1009357 0688.44002 10.1137/0520082 S. Y. Trimble, J. Wells, and F. T. Wright, “Superadditive functions and a statistical application,” SIAM Journal on Mathematical Analysis, vol. 20, no. 5, pp. 1255–1259, 1989. MR1009357 0688.44002 10.1137/0520082

6.

G. D. Anderson, R. W. Barnard, K. C. Richards, M. K. Vamanamurthy, and M. Vuorinen, “Inequalities for zero-balanced hypergeometric functions,” Transactions of the American Mathematical Society, vol. 347, no. 5, pp. 1713–1723, 1995. MR1264800 0826.33003 10.1090/S0002-9947-1995-1264800-3 G. D. Anderson, R. W. Barnard, K. C. Richards, M. K. Vamanamurthy, and M. Vuorinen, “Inequalities for zero-balanced hypergeometric functions,” Transactions of the American Mathematical Society, vol. 347, no. 5, pp. 1713–1723, 1995. MR1264800 0826.33003 10.1090/S0002-9947-1995-1264800-3

7.

J. D. Kečkić and P. M. Vasić, “Some inequalities for the gamma function,” Institut Mathématique, vol. 11, no. 25, pp. 107–114, 1971. MR0308446 0222.33001 J. D. Kečkić and P. M. Vasić, “Some inequalities for the gamma function,” Institut Mathématique, vol. 11, no. 25, pp. 107–114, 1971. MR0308446 0222.33001

8.

H. Alzer, “On some inequalities for the gamma and psi functions,” Mathematics of Computation, vol. 66, no. 217, pp. 373–389, 1997. MR1388887 0854.33001 10.1090/S0025-5718-97-00807-7 H. Alzer, “On some inequalities for the gamma and psi functions,” Mathematics of Computation, vol. 66, no. 217, pp. 373–389, 1997. MR1388887 0854.33001 10.1090/S0025-5718-97-00807-7

9.

Y.-J. Wei, S.-L. Zhang, and C.-P. Chen, “Logarithmically completely monotonic functions and Gurland's ratio for the gamma functions,” Advanced Studies in Contemporary Mathematics, vol. 15, no. 2, pp. 253–257, 2007. MR2356181 1132.33304 Y.-J. Wei, S.-L. Zhang, and C.-P. Chen, “Logarithmically completely monotonic functions and Gurland's ratio for the gamma functions,” Advanced Studies in Contemporary Mathematics, vol. 15, no. 2, pp. 253–257, 2007. MR2356181 1132.33304

10.

M. Merkle, “Gurland's ratio for the gamma function,” Computers & Mathematics with Applications, vol. 49, no. 2-3, pp. 389–406, 2005. MR2123415 1081.33005 M. Merkle, “Gurland's ratio for the gamma function,” Computers & Mathematics with Applications, vol. 49, no. 2-3, pp. 389–406, 2005. MR2123415 1081.33005

11.

C.-P. Chen and F. Qi, “Logarithmically completely monotonic functions relating to the gamma function,” Journal of Mathematical Analysis and Applications, vol. 321, no. 1, pp. 405–411, 2006. MR2236568 1099.33002 10.1016/j.jmaa.2005.08.056 C.-P. Chen and F. Qi, “Logarithmically completely monotonic functions relating to the gamma function,” Journal of Mathematical Analysis and Applications, vol. 321, no. 1, pp. 405–411, 2006. MR2236568 1099.33002 10.1016/j.jmaa.2005.08.056

12.

S. Guo, F. Qi, and H. M. Srivastava, “Supplements to a class of logarithmically completely monotonic functions associated with the gamma function,” Applied Mathematics and Computation, vol. 197, no. 2, pp. 768–774, 2008. MR2400700 1139.33300 10.1016/j.amc.2007.08.011 S. Guo, F. Qi, and H. M. Srivastava, “Supplements to a class of logarithmically completely monotonic functions associated with the gamma function,” Applied Mathematics and Computation, vol. 197, no. 2, pp. 768–774, 2008. MR2400700 1139.33300 10.1016/j.amc.2007.08.011

13.

S. Guo and H. M. Srivastava, “A class of logarithmically completely monotonic functions,” Applied Mathematics Letters, vol. 21, no. 11, pp. 1134–1141, 2008. MR2459837 1202.33002 10.1016/j.aml.2007.10.028 S. Guo and H. M. Srivastava, “A class of logarithmically completely monotonic functions,” Applied Mathematics Letters, vol. 21, no. 11, pp. 1134–1141, 2008. MR2459837 1202.33002 10.1016/j.aml.2007.10.028

14.

S. Guo, F. Qi, and H. M. Srivastava, “A class of logarithmically completely monotonic functions related to the gamma function with applications,” Integral Transforms and Special Functions, vol. 23, no. 8, pp. 557–566, 2012. MR2959455 1258.26009 10.1080/10652469.2011.611331 S. Guo, F. Qi, and H. M. Srivastava, “A class of logarithmically completely monotonic functions related to the gamma function with applications,” Integral Transforms and Special Functions, vol. 23, no. 8, pp. 557–566, 2012. MR2959455 1258.26009 10.1080/10652469.2011.611331

15.

S. Guo, “Logarithmically completely monotonic functions and applications,” Applied Mathematics and Computation, vol. 221, pp. 169–176, 2013. \endinput MR3091916 10.1016/j.amc.2013.06.037 S. Guo, “Logarithmically completely monotonic functions and applications,” Applied Mathematics and Computation, vol. 221, pp. 169–176, 2013. \endinput MR3091916 10.1016/j.amc.2013.06.037