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Volumn 310, Issue 1, 2005, Pages 303-308

Some completely monotonic functions involving polygamma functions and an application

Author keywords

Completely monotonic function; Gamma function; Harmonic number; Harmonic sequence; Polygamma function; Psi function

Indexed keywords


EID: 23844476075     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.02.016     Document Type: Article
Times cited : (60)

References (10)
  • 1
    • 0003283056 scopus 로고
    • (eds) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 4th printing, with corrections National Bureau of Standards Washington
    • M. Abramowitz I.A. Stegun (Eds) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 4th printing, with corrections Appl. Math. Ser. vol. 55 1965 National Bureau of Standards Washington
    • (1965) Appl. Math. Ser. , vol.55
    • Abramowitz, M.1    Stegun, I.A.2
  • 3
    • 23844454462 scopus 로고
    • Group of compilation Beijing, China: The People's Education Press. (in Chinese)
    • Group of compilation Shùxué Shǒucè Handbook of Mathematics 1979 The People's Education Press Beijing, China (in Chinese)
    • (1979) Shùxué Shǒucè Handbook of Mathematics
  • 4
    • 23844500554 scopus 로고    scopus 로고
    • A complete monotonicity of the gamma function
    • Art. 1. Available online at
    • F. Qi Ch.-P. Chen A complete monotonicity of the gamma function RGMIA Res. Rep. Coll. 7 2004 Art. 1. Available online at http://rgmia.vu.edu.au/v7n1.html
    • (2004) RGMIA Res. Rep. Coll. , vol.7
    • Qi, F.1    Chen, Ch.-P.2
  • 5
    • 3442891734 scopus 로고    scopus 로고
    • A complete monotonicity property of the gamma function
    • F. Qi Ch.-P. Chen A complete monotonicity property of the gamma function J. Math. Anal. Appl. 296 2004 603-607
    • (2004) J. Math. Anal. Appl. , vol.296 , pp. 603-607
    • Qi, F.1    Chen, Ch.-P.2
  • 6
    • 23844500554 scopus 로고    scopus 로고
    • Complete monotonicities of functions involving the gamma and digamma functions
    • F. Qi B.-N. Guo Complete monotonicities of functions involving the gamma and digamma functions RGMIA Res. Rep. Coll. 7 2004 63-72 http://rgmia.vu.edu/au/v7n1.html
    • (2004) RGMIA Res. Rep. Coll. , vol.7 , pp. 63-72
    • Qi, F.1    Guo, B.-N.2
  • 7
    • 33645778397 scopus 로고    scopus 로고
    • Some completely monotonic functions involving the gamma and polygamma functions
    • F. Qi B.-N. Guo Ch.-P. Chen Some completely monotonic functions involving the gamma and polygamma functions J. Austral. Math. Soc. 79 (2005), in press RGMIA Res. Rep. Coll. 7 2004 31-36 http://rgmia.vu.edu/au/v7n1.html
    • (2004) RGMIA Res. Rep. Coll. , vol.7 , pp. 31-36
    • Qi, F.1    Guo, B.-N.2    Chen, Ch.-P.3
  • 10
    • 0004021877 scopus 로고    scopus 로고
    • Tèshū Hánshù Gàilùn
    • Introduction to Special Function Peking University Press Beijing, China (in Chinese)
    • Zh.-X. Wang D.-R. Guo Tèshū Hánshù Gàilùn Introduction to Special Function The Series of Advanced Physics of Peking University 2000 Peking University Press Beijing, China (in Chinese)
    • (2000) The Series of Advanced Physics of Peking University
    • Wang, Zh.-X.1    Guo, D.-R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.