Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. C., Ortici, Bstract (2010)
Completely monotonic functions associated with gamma function and applications
Mathemalical Tables, M. Abramowitz, I. Stegun, A. Greenhill (1971)
Handbook of Mathematical Functions with Formulas, Graphs,
M. Merkle (2005)
Gurland's ratio for the gamma functionComputers & Mathematics With Applications, 49
A. Salem (2016)
A certain class of approximations for the $q$-digamma functionRocky Mountain Journal of Mathematics, 46
Chao Chen, Feng (祁锋) (2006)
Logarithmically completely monotonic functions relating to the gamma functionJournal of Mathematical Analysis and Applications, 321
Département de Mathématiques ISSAT Kasserine, Tunisia. E-mail address: k.mehrez@yahoo.fr
M. Mansour (2009)
Note on Stirling's Formula
C. Krattenthaler, H. Srivastava (1996)
Summations for basic hypergeometric series involving a q-analogue of the digamma functionComputers & Mathematics With Applications, 32
H. Robbins (1955)
A Remark on Stirling’s FormulaAmerican Mathematical Monthly, 62
M. Abramowitz, I. Stegun, David Miller (1965)
Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)Journal of Applied Mechanics, 32
P. Hummel, R. Greenwood (1940)
Questions, Discussions, and NotesAmerican Mathematical Monthly, 47
D. Moak (1984)
The Q-analogue of Stirling's formulaRocky Mountain Journal of Mathematics, 14
Chao Chen, Feng (祁锋), Jiaozuo City (2005)
Logarithmically completely monotonic ratios of mean values and an application
In this paper, the logarithmically complete monotonicity property for a functions involving q-gamma function is investigated for $$q\in (0,1).$$ q ∈ ( 0 , 1 ) . As applications of this results, some new inequalities for the q-gamma function are established. Furthermore, let the sequence $$r_n$$ r n be defined by $$n!=\sqrt{2\pi n}(n/e)^n e^{r_n}$$ n ! = 2 π n ( n / e ) n e r n . We establish new estimates for Stirling’s formula remainder $$r_n.$$ r n .
Positivity – Springer Journals
Published: Jun 18, 2016
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.