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Volumn 134, Issue 1, 2005, Pages 102-113

On a conjecture of Clark and Ismail

Author keywords

Completely and absolutely monotonic functions; Inequalities; Infinite series; Polygamma functions

Indexed keywords


EID: 17844382197     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2004.02.008     Document Type: Article
Times cited : (15)

References (14)
  • 2
    • 0036455848 scopus 로고    scopus 로고
    • Some classes of completely monotonic functions
    • H. Alzer C. Berg Some classes of completely monotonic functions Ann. Acad. Scient. Fennicae 27 2002 445-460
    • (2002) Ann. Acad. Scient. Fennicae , vol.27 , pp. 445-460
    • Alzer, H.1    Berg, C.2
  • 3
    • 17844374579 scopus 로고    scopus 로고
    • Some classes of completely monotonic functions, II
    • to appear
    • H. Alzer, C. Berg, Some classes of completely monotonic functions, II, The Ramanujan J., to appear.
    • The Ramanujan J.
    • Alzer, H.1    Berg, C.2
  • 4
    • 0000707374 scopus 로고
    • Signs of derivatives and analytic behavior
    • R.P. Boas Signs of derivatives and analytic behavior Amer. Math. Monthly 78 1971 1085-1093
    • (1971) Amer. Math. Monthly , vol.78 , pp. 1085-1093
    • Boas, R.P.1
  • 5
    • 10344246460 scopus 로고    scopus 로고
    • Inequalities involving gamma and psi functions
    • W.E. Clark M.E.H. Ismail Inequalities involving gamma and psi functions Anal. Appl. 1 2003 129-140
    • (2003) Anal. Appl. , vol.1 , pp. 129-140
    • Clark, W.E.1    Ismail, M.E.H.2
  • 7
    • 17744374283 scopus 로고    scopus 로고
    • The Hardy-Littlewood function: An exercise in slowly convergent series
    • to appear
    • W. Gautschi, The Hardy-Littlewood function: An exercise in slowly convergent series, J. Comp. Appl. Math., to appear.
    • J. Comp. Appl. Math.
    • Gautschi, W.1
  • 8
    • 17744400455 scopus 로고
    • Notes on the theory of series (XX): On Lambert series
    • G.H. Hardy J.E. Littlewood Notes on the theory of series (XX) on Lambert series Proc. London Math. Soc. (2) 41 1936 257-270
    • (1936) Proc. London Math. Soc. , vol.41 , Issue.2 , pp. 257-270
    • Hardy, G.H.1    Littlewood, J.E.2
  • 9
    • 0002075858 scopus 로고
    • Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate
    • E. Landau Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate Arch. Math. (3) 13 1908 305-312
    • (1908) Arch. Math. , vol.13 , Issue.3 , pp. 305-312
    • Landau, E.1
  • 10
    • 0001150428 scopus 로고
    • About a theorem of Paolo Codecà's and Ω-estimates for arithmetical convolutions
    • Y.-F.S. Pétermann About a theorem of Paolo Codecà's and Ω-estimates for arithmetical convolutions J. Number Theory 30 1988 71-85
    • (1988) J. Number Theory , vol.30 , pp. 71-85
    • Pétermann, Y.-F.S.1
  • 11
    • 38249018535 scopus 로고
    • About a theorem of Paolo Codecà's and Ω-estimates for arithmetical convolutions: Addendum
    • Y.-F.S. Pétermann About a theorem of Paolo Codecà's and Ω-estimates for arithmetical convolutions addendum J. Number Theory 36 1990 322-327
    • (1990) J. Number Theory , vol.36 , pp. 322-327
    • Pétermann, Y.-F.S.1
  • 12
    • 0010426671 scopus 로고
    • About a theorem of Paolo Codecà's and Omega estimates for arithmetical convolutions
    • Y.-F.S. Pétermann About a theorem of Paolo Codecà's and Omega estimates for arithmetical convolutions Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. (4) 17 1990 343-353
    • (1990) Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. , vol.17 , Issue.4 , pp. 343-353
    • Pétermann, Y.-F.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.