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Volumn 336, Issue 2, 2007, Pages 812-822

Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions

Author keywords

Complete monotonicity; Gamma function; Logarithmically complete monotonicity; Psi function

Indexed keywords


EID: 34548104410     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.03.028     Document Type: Article
Times cited : (21)

References (12)
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  • 2
    • 33645807301 scopus 로고    scopus 로고
    • Inequalities relating to the gamma function
    • Article 3 (electronic)
    • Chen C.-P., and Qi F. Inequalities relating to the gamma function. Aust. J. Math. Anal. Appl. 1 1 (2004) Article 3 (electronic)
    • (2004) Aust. J. Math. Anal. Appl. , vol.1 , Issue.1
    • Chen, C.-P.1    Qi, F.2
  • 3
    • 0004167530 scopus 로고
    • Peoples' Education Press, Beijing, China (in Chinese)
    • Group of Compilation. Handbook of Mathematics (1979), Peoples' Education Press, Beijing, China (in Chinese)
    • (1979) Handbook of Mathematics
    • Group of Compilation1
  • 5
    • 0004054936 scopus 로고    scopus 로고
    • Shangdong Science and Technology Press, Jinan City, Shangdong Province, China (in Chinese)
    • Kuang J.-Ch. Applied Inequalities. third ed. (2004), Shangdong Science and Technology Press, Jinan City, Shangdong Province, China (in Chinese)
    • (2004) Applied Inequalities. third ed.
    • Kuang, J.-Ch.1
  • 7
    • 3442891734 scopus 로고    scopus 로고
    • A complete monotonicity property of the gamma function
    • Qi F., and Chen C.-P. A complete monotonicity property of the gamma function. J. Math. Anal. Appl. 296 2 (2004) 603-607
    • (2004) J. Math. Anal. Appl. , vol.296 , Issue.2 , pp. 603-607
    • Qi, F.1    Chen, C.-P.2
  • 8
    • 33645814909 scopus 로고    scopus 로고
    • Some completely monotonic functions involving the gamma and polygamma functions
    • Qi F., Guo B.-N., and Chen C.-P. Some completely monotonic functions involving the gamma and polygamma functions. J. Aust. Math. Soc. 80 1 (2006) 81-88
    • (2006) J. Aust. Math. Soc. , vol.80 , Issue.1 , pp. 81-88
    • Qi, F.1    Guo, B.-N.2    Chen, C.-P.3
  • 9
    • 14944340570 scopus 로고    scopus 로고
    • Some properties of the gamma and psi functions with applications
    • Qiu S.-L., and Vuorinen M. Some properties of the gamma and psi functions with applications. Math. Comp. 74 250 (2004) 723-742
    • (2004) Math. Comp. , vol.74 , Issue.250 , pp. 723-742
    • Qiu, S.-L.1    Vuorinen, M.2
  • 10
    • 1842499752 scopus 로고    scopus 로고
    • A monotonicity property of the Γ-function
    • Article 73; available online at:
    • Vogt H., and Voigt J. A monotonicity property of the Γ-function. J. Inequal. Pure Appl. Math. 3 5 (2002). http://jipam.vu.edu.au/v3n5/007_01.html Article 73; available online at:
    • (2002) J. Inequal. Pure Appl. Math. , vol.3 , Issue.5
    • Vogt, H.1    Voigt, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.