Some completely monotonic functions involving the gamma and polygamma functions

Journal of the Australian Mathematical Society

Volumn 80, Issue 1, 2006, Pages 81-88

  Qi, Feng ^a   Guo, Bai Ni ^a   Chen, Chao Ping ^a  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

Completely monotonic function; Gamma function; Logarithmically completely monotonic function; Polygamma function

Indexed keywords

EID: 33645814909     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700011393     Document Type: Article

References (8)

1. H. Alzer and C. Berg, 'Some classes of completely monotonic functions', Ann. Acad. Sci. Fenn. Math. 27 (2002), 445-460.
2. _, 'Some classes of completely monotonic functions, II', Ramanujan J., to appear, available online at http://www.math.ku.dk/~berg.
3. C. Berg and G. Forst, Potential theory on locally compact Abelian groups, Ergebnisse der Math. 87 (Springer, Berlin, 1975).
4. Ch.-P. Chen and F. Qi, 'Inequalities relating to the gamma function', Austral. J. Math. Anal. Appl. (1)1 (2004), Art. 3.
5. F. Qi and Ch.-P. Chen, 'A complete monotonicity property of the gamma function', J. Math. Anal. Appl. 296 (2004), 603-607.
6. F. Qi and B.-N. Guo, 'Complete monotonicities of functions involving the gamma and digamma functions', RGMIA Res. Rep. Coll. (1) 7 (2004), Art. 8.
7. F. Qi, B.-N. Guo and Ch.-P. Chen, 'Some completely monotonic functions involving the gamma and polygamma functions', RGMIA Res. Rep. Coll. (1) 7 (2004), Art. 5.
8. D. V. Widder, The Laplace transform (Princeton University Press, Princeton, 1941).