A class of completely monotonic functions related to the remainder of Binet's formula with applications

Tamsui Oxford Journal of Mathematical Sciences

Volumn 25, Issue 1, 2009, Pages 9-14

  Guo, Senlin ^a   Qi, Feng ^b  

^a ZHONGYUAN UNIVERSITY OF TECHNOLOGY   (China)

^b HENAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

Binet's formula; Completely monotonic function; Gamma function; Remainder; Star shaped function; Subadditive function

Indexed keywords

EID: 71649085838     PISSN: None     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. A. M. Bruckner and E. Ostrow, Some function classes related to the class of convex functions, Pacific J. Math. 12 (1962), 1203-1215.
2. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed., Academic Press, New York, 2000.
3. W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, Springer, Berlin, 1966.
4. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, Academic Press, New York, 1979.
5. F. Qi, A monotonicity result of a function involving the exponential function and an application, RGMIA Res. Rep. Coll. 7 (2004), no.3, Art. 16, 507-509; Available online at http://rgmia.vu.edu.au/v7n3.html.
6. D. V. Widder, The Laplace Transform, Princeton University Press, Princeton, New Jersey, 1941.