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Volumn 128, Issue 1, 2000, Pages 141-147

Inequalities for the gamma function

(1)  Alzer, Horst a  

a NONE   (Germany)

Author keywords

Gamma function; Inequalities; Power mean; Psi function

Indexed keywords


EID: 22844454193     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04993-x     Document Type: Article
Times cited : (48)

References (10)
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    • A harmonic mean inequality for the gamma function, 3
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    • H. Alzer, A harmonic mean inequality for the gamma function, 3. Comput. Appl. Math. 87 (1997), 195-198. CMP 98:06
    • (1997) Comput. Appl. Math. , vol.87 , pp. 195-198
    • Alzer, H.1
  • 3
    • 0042376839 scopus 로고    scopus 로고
    • On some inequalities for the gamma and psi functions
    • MR 97e:33004
    • H. Alzer, On some inequalities for the gamma and psi functions, Math. Comp. 66 (1997), 373-389. MR 97e:33004
    • (1997) Math. Comp. , vol.66 , pp. 373-389
    • Alzer, H.1
  • 4
    • 21944437101 scopus 로고    scopus 로고
    • A monotoneity property of the gamma function
    • MR 98h:33001
    • G. D. Anderson and S.-L. Qiu, A monotoneity property of the gamma function, Proc. Amer. Math. Soc. 125 (1997), 3355-3362. MR 98h:33001
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 3355-3362
    • Anderson, G.D.1    Qiu, S.-L.2
  • 6
    • 0011035926 scopus 로고
    • Leonhard Euler's integral: A historical profile of the gamma function
    • MR 21:5540
    • P. J. Davis, Leonhard Euler's integral: A historical profile of the gamma function, Amer. Math. Monthly 66 (1959), 849-869. MR 21:5540
    • (1959) Amer. Math. Monthly , vol.66 , pp. 849-869
    • Davis, P.J.1
  • 7
    • 0001639155 scopus 로고
    • A harmonic mean inequality for the gamma function
    • MR 50:2570
    • W. Gautschi, A harmonic mean inequality for the gamma function SIAM J. Math. Anal. 5 (1974), 278-281. MR 50:2570
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 278-281
    • Gautschi, W.1
  • 8
    • 0001639154 scopus 로고
    • Some mean value inequalities for the gamma function
    • MR 50:2571
    • W. Gautschi, Some mean value inequalities for the gamma function, SIAM J. Math. Anal. 5 (1974), 282-292. MR 50:2571
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 282-292
    • Gautschi, W.1
  • 9
    • 21844488155 scopus 로고
    • A stochastic approach to the gamma function
    • MR 95k:33003
    • L. Gordon, A stochastic approach to the gamma function, Amer. Math. Monthly 101 (1994), 858-865. MR 95k:33003
    • (1994) Amer. Math. Monthly , vol.101 , pp. 858-865
    • Gordon, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.