메뉴 건너뛰기




Volumn 178, Issue 2, 2011, Pages 178-186

Turán's inequality for the Kummer function of the phase shift of two parameters

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80053533888     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-011-0537-x     Document Type: Article
Times cited : (7)

References (18)
  • 2
    • 70349908269 scopus 로고    scopus 로고
    • Bounds on Turán determinants
    • C. Berg and R. Szwarc, "Bounds on Turán determinants," J. Approx. Theory, 161, No. 1, 127-141 (2009).
    • (2009) J. Approx. Theory , vol.161 , Issue.1 , pp. 127-141
    • Berg, C.1    Szwarc, R.2
  • 3
    • 33947714239 scopus 로고    scopus 로고
    • Positivity of Turán determinants for orthogonal polynomials
    • Eds. K. A. Ross et al., Birkhäuser, Boston-Basel-Berlin
    • R. Szwarc, "Positivity of Turán determinants for orthogonal polynomials," in: Harmonic Analysis and Hypergroups, Eds. K. A. Ross et al., Birkhäuser, Boston-Basel-Berlin (1998), pp. 165-182.
    • (1998) Harmonic Analysis and Hypergroups , pp. 165-182
    • Szwarc, R.1
  • 4
    • 0002431865 scopus 로고
    • Log-conave and unimodal sequences in algebra, ombinatorics, and geometry: an update
    • F. Brenti, "Log-conave and unimodal sequences in algebra, ombinatorics, and geometry: an update," Contemp. Math., 178, 71-89 (1994).
    • (1994) Contemp. Math. , vol.178 , pp. 71-89
    • Brenti, F.1
  • 6
    • 35348848959 scopus 로고
    • A note on succesive remainders of the exponential series
    • W. Gautschi, "A note on succesive remainders of the exponential series," Elem. Math., 37, 46-49 (1982).
    • (1982) Elem. Math. , vol.37 , pp. 46-49
    • Gautschi, W.1
  • 8
    • 0000439293 scopus 로고
    • An inequality for the exponential function
    • H. Alzer, "An inequality for the exponential function," Arch. Math., 55, 462-464 (1990).
    • (1990) Arch. Math. , vol.55 , pp. 462-464
    • Alzer, H.1
  • 9
    • 46149122293 scopus 로고    scopus 로고
    • Functional inequalities involving Bessel and modified Bessel functions of the first kind
    • A. Baricz, "Functional inequalities involving Bessel and modified Bessel functions of the first kind," Expo. Math., 26, No. 3, 279-293 (2008).
    • (2008) Expo. Math. , vol.26 , Issue.3 , pp. 279-293
    • Baricz, A.1
  • 10
    • 34249065645 scopus 로고    scopus 로고
    • Turán type inequalities for generalized complete elliptic integrals
    • A. Baricz, "Turán type inequalities for generalized complete elliptic integrals," Math. Z., 256, 895-911 (2007).
    • (2007) Math. Z. , vol.256 , pp. 895-911
    • Baricz, A.1
  • 11
    • 52749086714 scopus 로고    scopus 로고
    • Turán type inequalities for hypergeometric functions
    • A. Baricz, "Turán type inequalities for hypergeometric functions," Proc. Amer. Math. Soc., 136, No. 9, 3223-3229 (2008).
    • (2008) Proc. Amer. Math. Soc. , vol.136 , Issue.9 , pp. 3223-3229
    • Baricz, A.1
  • 13
    • 52749089640 scopus 로고    scopus 로고
    • A note on Turán type and mean inequalities for the Kummer function
    • R. W. Barnard, M. Gordy, and K. C. Richards, "A note on Turán type and mean inequalities for the Kummer function," J. Math. Anal. Appl., 349, No. 1, 259-263 (2009).
    • (2009) J. Math. Anal. Appl. , vol.349 , Issue.1 , pp. 259-263
    • Barnard, R.W.1    Gordy, M.2    Richards, K.C.3
  • 14
    • 72149125041 scopus 로고    scopus 로고
    • Log-convexity and log-concavity of hypergeometric-like functions
    • D. Karp and S. M. Sitnik, "Log-convexity and log-concavity of hypergeometric-like functions," J. Math. Anal. Appl., 364, 384-394 (2010).
    • (2010) J. Math. Anal. Appl. , vol.364 , pp. 384-394
    • Karp, D.1    Sitnik, S.M.2
  • 15
    • 80053555857 scopus 로고    scopus 로고
    • On a problem of multidimensional statistics for the Kummer function
    • (Vladivostok), [in Russian], in print
    • D. B. Karp, "On a problem of multidimensional statistics for the Kummer function," in: Proc. of the XXXV Far-Eastern Mathematical School-Seminar (Vladivostok, 2010) [in Russian], in print.
    • (2010) Proc. of the XXXV Far-Eastern Mathematical School-Seminar
    • Karp, D.B.1
  • 17
    • 0011369884 scopus 로고
    • From Wythoff's Nim to Chebyshev's inequality
    • K. B. Stolarsky, "From Wythoff's Nim to Chebyshev's inequality," Amer. Math. Monthly, 98, 889-900 (1991).
    • (1991) Amer. Math. Monthly , vol.98 , pp. 889-900
    • Stolarsky, K.B.1
  • 18
    • 0042376839 scopus 로고    scopus 로고
    • On some inequalities for the gamma and psi functions
    • H. Alzer, "On some inequalities for the gamma and psi functions," Math. Comput., 66, No. 217, 373-389 (1997).
    • (1997) Math. Comput. , vol.66 , Issue.217 , pp. 373-389
    • Alzer, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.