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Volumn 36, Issue 4, 2005, Pages 303-307

Completely monotonic function associated with the gamma functions and proof of Wallis' inequality

Author keywords

Complete monotonicity; Gamma function; Wallis' inequality

Indexed keywords


EID: 33645570583     PISSN: 00492930     EISSN: None     Source Type: Journal    
DOI: 10.5556/j.tkjm.36.2005.101     Document Type: Article
Times cited : (32)

References (14)
  • 1
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    • K. Ball, Completely monotonic rational functions and Hall's marriage theorem, J. Comb. Th., Ser. B 61 (1994), 118-124.
    • (1994) J. Comb. Th., Ser. B , vol.61 , pp. 118-124
    • Ball, K.1
  • 6
    • 0014926481 scopus 로고
    • On monotonicity of the relaxation functions of viscoelastic meterial
    • W. A. Day, On monotonicity of the relaxation functions of viscoelastic meterial, Proc. Cambridge Philos. Soc. 67 (1970), 503-508.
    • (1970) Proc. Cambridge Philos. Soc. , vol.67 , pp. 503-508
    • Day, W.A.1
  • 8
    • 0001160530 scopus 로고
    • Error bounds for asymptotic expansions of the ratio of two gamma functions
    • C. L. Frenzen, Error bounds for asymptotic expansions of the ratio of two gamma functions, SIAM J. Math. Anal. 18 (1987), 890-896.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 890-896
    • Frenzen, C.L.1
  • 9
    • 0001502378 scopus 로고
    • A probabilistic interpretation of complete monotonicity
    • C. H. Kimberling, A probabilistic interpretation of complete monotonicity, Aequat. Math. 10 (1974), 152-164.
    • (1974) Aequat. Math. , vol.10 , pp. 152-164
    • Kimberling, C.H.1
  • 10
    • 22444453218 scopus 로고    scopus 로고
    • x)/x: Inequalities and properties
    • x)/x: Inequalities and properties, Proc. Amer. Math. Soc. 126 (1998), 3355-3359.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 3355-3359
    • Qi, F.1    Xu, S.-L.2
  • 11
    • 33645581659 scopus 로고    scopus 로고
    • Zhejiang university Press, Hangzhou City, China. (in Chinese)
    • Tan Lin, Reading Notes on Gamma Function, Zhejiang university Press, Hangzhou City, China, 1997. (in Chinese)
    • (1997) Reading Notes on Gamma Function
    • Lin, T.1
  • 12
    • 84973987300 scopus 로고
    • A note on gamma functions
    • Edinburgh Math. Notes No. 42 (misprinted 41) (1959)
    • G. N. Watson, A note on gamma functions, Proc. Edinburgh Math. Soc. 11 1958/1959 Edinburgh Math. Notes No. 42 (misprinted 41) (1959), 7-9.
    • (1958) Proc. Edinburgh Math. Soc. , vol.11 , pp. 7-9
    • Watson, G.N.1
  • 13


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.