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Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-14
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Some complete monotonicity results that the functions ± 1 / e ± t - 1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive derivatives of these two functions are decreasing on 0 , ∞ are discovered.
As applications of these newly discovered results, some complete monotonicity results concerning the polylogarithm are found.
Finally a conjecture on the complete monotonicity of the above-mentioned ratios is posed.
American Psychological Association (APA)
Wei, Chun-Fu& Guo, Bai-Ni. 2014. Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014902
Modern Language Association (MLA)
Wei, Chun-Fu& Guo, Bai-Ni. Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014902
American Medical Association (AMA)
Wei, Chun-Fu& Guo, Bai-Ni. Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014902