Inequalities on the Lambert W function and hyperpower function

Journal of Inequalities in Pure and Applied Mathematics

Volumn 9, Issue 2, 2008, Pages

  Hoorfar, Abdolhossein ^a   Hassani, Mehdi ^b  

^a UNIVERSITY OF TEHRAN   (Iran)

^b INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

Author keywords

Hyperpower function; Inequality; Lambert W function; Special function

Indexed keywords

EID: 46849093022     PISSN: None     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. M. ABRAMOWITZ AND I.A. STEGUN, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, Dover Publications, 1972. [ONLINE: http://www.convertit.com/Go/ConvertIt/Reference/AMS55.asp].
2. R.M. CORLESS, G.H. GONNET, D.E.G. HARE, D.J. JEFFREY AND D.E. KNUTH, On the Lambert W function, Adv. Comput. Math., 5(4) (1996), 329-359.
3. R.M. CORLESS, D.J. JEFFREY AND D.E. KNUTH, A sequence of series for the Lambert W function, Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI), 197-204 (electronic), ACM, New York, 1997.
4. I. GALIDAKIS AND E.W. WEISSTEIN, "Power Tower." From MathWorld-A Wolfram Web Resource. [ONLINE: http://mathword.wolfram.com/ PowerTower.html].
5. M. HASSANI, Approximation of the Lambert W function, RGMIA Research Report Collection, 8(4) (2005), Art. 12.
6. E.W. WEISSTEIN, Lambert W-Function, from MathWorld-A Wolfram Web Resource. [ONLINE: http://mathworld.wolfram.com/LambertW-Function.html].