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Volumn 18, Issue 11, 2007, Pages 819-826

Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic

Author keywords

Completely monotonic function; Digamma and Polygamma functions; Gamma function; Hurwitz zeta function; Inequalities; Logarithmically completely monotonic function; Necessary and sufficient condition

Indexed keywords


EID: 35648949504     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460701528933     Document Type: Article
Times cited : (31)

References (12)
  • 2
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    • Princeton: Princeton University Press
    • Widder, D.V., 1946, The Laplace Transform (Princeton: Princeton University Press).
    • (1946) The Laplace Transform
    • Widder, D.V.1
  • 5
    • 35648979144 scopus 로고    scopus 로고
    • Qi, F. and Guo, B.-N., 2004, Complete monotonicities of functions involving the gamma and digamma functions. RGMIA Research Report Collection, 7(1), 63-72; Available online at http://rgmia.vu.edu.au/ v7n1.html.
    • Qi, F. and Guo, B.-N., 2004, Complete monotonicities of functions involving the gamma and digamma functions. RGMIA Research Report Collection, 7(1), 63-72; Available online at http://rgmia.vu.edu.au/ v7n1.html.
  • 6
    • 35648937148 scopus 로고    scopus 로고
    • Some classes of completely monotonic functions involving the gamma function
    • Guo, S., 2006, Some classes of completely monotonic functions involving the gamma function. International Journal of Pure and Applied Mathematics, 30, 561-566.
    • (2006) International Journal of Pure and Applied Mathematics , vol.30 , pp. 561-566
    • Guo, S.1
  • 7
    • 84968470274 scopus 로고
    • Some gamma function inequalities
    • Alzer, H., 1993, Some gamma function inequalities. Mathmatics of Computation, 60, 337-346.
    • (1993) Mathmatics of Computation , vol.60 , pp. 337-346
    • Alzer, H.1
  • 9
    • 33646338597 scopus 로고    scopus 로고
    • Logarithmically completely monotonie functions relating to the gamma function
    • Chen, C.-P. and Qi, F., 2006, Logarithmically completely monotonie functions relating to the gamma function. Journal of Mathematical Analysis and Applications, 321, 405-411.
    • (2006) Journal of Mathematical Analysis and Applications , vol.321 , pp. 405-411
    • Chen, C.-P.1    Qi, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.