descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 30 Jan 2015Embargo end date: 01 Jan 2013 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 67, pages 395-402 (issn: 1422-6383, eissn: 1420-9012,

Authors: Feng Qi; Feng Qi; Cristinel Mortici;

doi: 10.1007/s00025-015-0439-1 , 10.48550/arxiv.1312.5881

arXiv: http://arxiv.org/abs/1312.5881

Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function

- Summary
- Subjects
- Metrics

Abstract

In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial $n!$ and the gamma function $��$ in terms of the tri-gamma function $��'$.

6 pages

Related Organizations

Valahia University of Targoviste
Romania
Tianjin Polytechnic University
China (People's Republic of)
Inner Mongolia University for Nationalities
China (People's Republic of)

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 26D15, 33B15, 41A10

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%