메뉴 건너뛰기




Volumn 364, Issue 2, 2010, Pages 384-394

Log-convexity and log-concavity of hypergeometric-like functions

Author keywords

Gauss function; Hypergeometric function; Kummer function; Log concavity; Log convexity; Tur n inequality

Indexed keywords


EID: 72149125041     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.10.057     Document Type: Article
Times cited : (55)

References (20)
  • 2
    • 46149122293 scopus 로고    scopus 로고
    • Functional inequalities involving Bessel and modified Bessel functions of the first kind
    • 10.1016/j.exmath.2008.01.001
    • Baricz A. Functional inequalities involving Bessel and modified Bessel functions of the first kind. Expo. Math. 26 3 (2008) 279-293 10.1016/j.exmath.2008.01.001
    • (2008) Expo. Math. , vol.26 , Issue.3 , pp. 279-293
    • Baricz, A.1
  • 3
    • 52749086714 scopus 로고    scopus 로고
    • Turán type inequalities for hypergeometric functions
    • Baricz A. Turán type inequalities for hypergeometric functions. Proc. Amer. Math. Soc. 136 9 (2008) 3223-3229
    • (2008) Proc. Amer. Math. Soc. , vol.136 , Issue.9 , pp. 3223-3229
    • Baricz, A.1
  • 4
    • 34249065645 scopus 로고    scopus 로고
    • Turán type inequalities for generalized complete elliptic integrals
    • Baricz A. Turán type inequalities for generalized complete elliptic integrals. Math. Z. 256 (2007) 895-911
    • (2007) Math. Z. , vol.256 , pp. 895-911
    • Baricz, A.1
  • 5
    • 52749089640 scopus 로고    scopus 로고
    • A note on Turán type and mean inequalities for the Kummer function
    • 10.1016/j.jmaa.2008.08.024
    • Barnard R.W., Gordy M., and Richards K.C. A note on Turán type and mean inequalities for the Kummer function. J. Math. Anal. Appl. 349 1 (2009) 259-263 10.1016/j.jmaa.2008.08.024
    • (2009) J. Math. Anal. Appl. , vol.349 , Issue.1 , pp. 259-263
    • Barnard, R.W.1    Gordy, M.2    Richards, K.C.3
  • 6
    • 70349908269 scopus 로고    scopus 로고
    • Bounds on Turán determinants
    • 10.1016/j.jat.2008.08.010
    • Berg C., and Szwarc R. Bounds on Turán determinants. J. Approx. Theory 161 1 (2009) 127-141 10.1016/j.jat.2008.08.010
    • (2009) J. Approx. Theory , vol.161 , Issue.1 , pp. 127-141
    • Berg, C.1    Szwarc, R.2
  • 7
    • 0042192659 scopus 로고
    • Inequalities for special functions, Problem 72-15
    • (proposed by D.K. Ross)
    • Bordelon D.J. Inequalities for special functions, Problem 72-15. (proposed by D.K. Ross). SIAM Rev. 15 3 (1973) 665-670
    • (1973) SIAM Rev. , vol.15 , Issue.3 , pp. 665-670
    • Bordelon, D.J.1
  • 8
    • 72149134666 scopus 로고    scopus 로고
    • The bank as grim reaper: Debt composition and recoveries on defaulted debt
    • preprint
    • M. Carey, M.B. Gordy, The bank as grim reaper: Debt composition and recoveries on defaulted debt, preprint, 2007
    • (2007)
    • Carey, M.1    Gordy, M.B.2
  • 9
    • 12144275670 scopus 로고    scopus 로고
    • Selected Topics on Hermite-Hadamard Inequalities and Applications
    • Victoria University
    • Dragomir S.S., and Pearce C.E.M. Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monograph (2000), Victoria University
    • (2000) RGMIA Monograph
    • Dragomir, S.S.1    Pearce, C.E.M.2
  • 11
    • 84972553423 scopus 로고
    • On the extension of Turán's inequality to Jacobi polynomials
    • Gasper G. On the extension of Turán's inequality to Jacobi polynomials. Duke Math. J. 38 (1971) 415-428
    • (1971) Duke Math. J. , vol.38 , pp. 415-428
    • Gasper, G.1
  • 13
    • 34147121583 scopus 로고    scopus 로고
    • Monotonicity properties of determinants of special functions
    • Ismail M.E.H., and Laforgia A. Monotonicity properties of determinants of special functions. Constr. Approx. 26 1 (2007) 1-9
    • (2007) Constr. Approx. , vol.26 , Issue.1 , pp. 1-9
    • Ismail, M.E.H.1    Laforgia, A.2
  • 14
    • 72149112800 scopus 로고    scopus 로고
    • Inequalities for modified Struve functions
    • Joshi C.M., and Nalwaya S. Inequalities for modified Struve functions. J. Indian Math. Soc. 65 (1998) 49-57
    • (1998) J. Indian Math. Soc. , vol.65 , pp. 49-57
    • Joshi, C.M.1    Nalwaya, S.2
  • 15
    • 70349903106 scopus 로고    scopus 로고
    • Inequalities and monotonicity of ratios for generalized hypergeometric function
    • 10.1016/j.jat.2008.10.002
    • Karp D., and Sitnik S.M. Inequalities and monotonicity of ratios for generalized hypergeometric function. J. Approx. Theory 161 1 (2009) 337-352 10.1016/j.jat.2008.10.002
    • (2009) J. Approx. Theory , vol.161 , Issue.1 , pp. 337-352
    • Karp, D.1    Sitnik, S.M.2
  • 18
    • 72149083340 scopus 로고
    • Location of zeros
    • Boas R.P. (Ed), MIT Press, Cambridge, MA
    • Pólya G. Location of zeros. In: Boas R.P. (Ed). Collected Papers vol. II (1974), MIT Press, Cambridge, MA
    • (1974) Collected Papers , vol.II
    • Pólya, G.1
  • 19
    • 33947714239 scopus 로고    scopus 로고
    • Positivity of Turán determinants for orthogonal polynomials
    • Ross K.A., et al. (Ed). Delhi, 1995, Birkhäuser, Boston-Basel-Berlin Also available as
    • Szwarc R. Positivity of Turán determinants for orthogonal polynomials. In: Ross K.A., et al. (Ed). Harmonic Analysis and Hypergroups. Delhi, 1995 (1998), Birkhäuser, Boston-Basel-Berlin 165-182. http://arxiv.org/abs/0710.3389v1 Also available as
    • (1998) Harmonic Analysis and Hypergroups , pp. 165-182
    • Szwarc, R.1
  • 20
    • 0002390633 scopus 로고
    • On an inequality of P. Turán concerning Legendre polynomials
    • Szego{combining double acute accent} G. On an inequality of P. Turán concerning Legendre polynomials. Bull. Amer. Math. Soc. 54 (1948) 401-405
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 401-405
    • Szego, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.