메뉴 건너뛰기




Volumn 136, Issue 9, 2008, Pages 3223-3229

Turán type inequalities for hypergeometric functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 52749086714     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-08-09353-2     Document Type: Article
Times cited : (44)

References (18)
  • 1
    • 33744771978 scopus 로고    scopus 로고
    • Some classes of completely monotonic functions, II
    • MR2267677 (2007k:33001)
    • H. Alzer, and C. Berg, Some classes of completely monotonic functions, II, Ramanujan J. 11 (2006), 225-248. MR2267677 (2007k:33001)
    • (2006) Ramanujan J. , vol.11 , pp. 225-248
    • Alzer, H.1    Berg, C.2
  • 2
    • 33947721487 scopus 로고    scopus 로고
    • On turán's inequality for legendre polynomials
    • MR2319577
    • H. Alzer, S. Gerhold, M. Kauers, and A. Lupaş, On Turán's inequality for Legendre polynomials, Expo. Math. 25 (2007), 181-186. MR2319577
    • (2007) Expo. Math. , vol.25 , pp. 181-186
    • Alzer, H.1    Gerhold, S.2    Kauers, M.3    Lupaş, A.4
  • 3
    • 0001873330 scopus 로고    scopus 로고
    • Generalized elliptic integrals and modular equations
    • MR1741031 (2001b:33027)
    • G.D. Anderson, S.L. Qiu, M.K. Vamanamurthy and M. Vuorinen, Generalized elliptic integrals and modular equations, Pacific J. Math. 192 (2000), 1-37. MR1741031 (2001b:33027)
    • (2000) Pacific J. Math. , vol.192 , pp. 1-37
    • Anderson, G.D.1    Qiu, S.L.2    Vamanamurthy, M.K.3    Vuorinen, M.4
  • 4
    • 0004167330 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, MR1688958 (2000g:33001)
    • G.E. Andrews, R. Askey, and R. Roy, Special Functions, Cambridge University Press, Cambridge, 1999. MR1688958 (2000g:33001)
    • (1999) Special Functions
    • Andrews, G.E.1    Askey, R.2    Roy, R.3
  • 5
    • 34249065645 scopus 로고    scopus 로고
    • Turán type inequalities for generalized complete elliptic integrals
    • MR2308896
    • Á. Baricz, Turán type inequalities for generalized complete elliptic integrals, Math. Z. 256 (2007), 895-911. MR2308896
    • (2007) Math Z. , vol.256 , pp. 895-911
    • Baricz, A.1
  • 6
    • 46149122293 scopus 로고    scopus 로고
    • Functional inequalities involving Bessel and modified Bessel functions of the first kind
    • doi:10.1016/j.exmath.2008.01.001
    • Á. Baricz, Functional inequalities involving Bessel and modified Bessel functions of the first kind, Expo. Math. (2008), doi:10.1016/j.exmath. 2008.01.001.
    • (2008) Expo. Math.
    • Baricz, A.1
  • 8
    • 84966216618 scopus 로고
    • On gamma function inequalities
    • MR856710 (87m:33002)
    • J. Bustoz and M.E.H. Ismail, On gamma function inequalities, Math. Comp. 47 (1986), 659-667. MR856710 (87m:33002)
    • (1986) Math. Comp. , vol.47 , pp. 659-667
    • Bustoz, J.1    Ismail, M.E.H.2
  • 9
    • 84968475321 scopus 로고
    • On polynomials satisfying a Turán type inequality
    • MR0338487 (49:3251)
    • G. Csordas and J. Williamson, On polynomials satisfying a Turán type inequality, Proc. Amer. Math. Soc. 43(2) (1974), 367-372. MR0338487 (49:3251)
    • (1974) Proc. Amer. Math. Soc. , vol.43 , Issue.2 , pp. 367-372
    • Csordas, G.1    Williamson, J.2
  • 10
    • 84972553423 scopus 로고
    • On the extension of Turán's inequality to Jacobi polynomials
    • MR0276514 (43:2258)
    • G. Gasper, On the extension of Turán's inequality to Jacobi polynomials, Duke Math. J. 38 (1971), 415-428. MR0276514 (43:2258)
    • (1971) Duke Math. J. , vol.38 , pp. 415-428
    • Gasper, G.1
  • 11
    • 84968476541 scopus 로고
    • An inequality of Turán type for Jacobi polynomials
    • MR0289826 (44:7013)
    • G. Gasper, An inequality of Turán type for Jacobi polynomials, Proc. Amer. Math. Soc. 32 (1972), 435-439. MR0289826 (44:7013)
    • (1972) Proc. Amer. Math. Soc. , vol.32 , pp. 435-439
    • Gasper, G.1
  • 13
    • 0042693799 scopus 로고
    • Some inequalities of Bessel and modified Bessel functions
    • (Series A) MR1094928 (92d:33007)
    • C.M. Joshi and S.K. Bissu, Some inequalities of Bessel and modified Bessel functions, J. Austral. Math. Soc. (Series A) 50 (1991), 333-342. MR1094928 (92d:33007)
    • (1991) J. Austral. Math. Soc. , vol.50 , pp. 333-342
    • Joshi, C.M.1    Bissu, S.K.2
  • 14
    • 51249166169 scopus 로고
    • On certain determinants whose elements are orthogonal polynomials
    • reprinted in R. Askey, ed., "Gábor Szegö Collected Papers", vol. 3, Birkháuser, Boston, 1982, 605-761. MR0142972 (26:539)
    • S. Karlin, G. Szegó́, On certain determinants whose elements are orthogonal polynomials, J. d'Analyse Math. 8 (1960/61), 1-157, reprinted in R. Askey, ed., "Gábor Szegö Collected Papers", vol. 3, Birkháuser, Boston, 1982, 605-761. MR0142972 (26:539)
    • (1960) J. d'Analyse Math. , vol.8 , pp. 1-157
    • Karlin, S.1    Szegó, G.2
  • 15
    • 84968478498 scopus 로고
    • Inequalities concerning ultraspherical polynomials and Bessel functions
    • MR0034902 (11:662b)
    • O. Szász, Inequalities concerning ultraspherical polynomials and Bessel functions, Proc. Amer. Math. Soc. 1 (1950), 256-267. MR0034902 (11:662b)
    • (1950) Proc. Amer. Math. Soc. , vol.1 , pp. 256-267
    • Szász, O.1
  • 16
    • 0002390633 scopus 로고
    • On an inequality of P. Turán concerning Legendre polynomials
    • MR0023954 (9:429d)
    • G. Szegó́, On an inequality of P. Turán concerning Legendre polynomials, Bull. Amer. Math. Soc. 54 (1948), 401-405. MR0023954 (9:429d)
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 401-405
    • Szegó, G.1
  • 17
    • 77950688256 scopus 로고
    • An inequality for Jacobi polynomials
    • Stanford Univ. Press., Stanford, Calif. MR0145122 (26:2657)
    • G. Szegó́, An inequality for Jacobi polynomials, Studies in Math. Anal. and Related Topics, Stanford Univ. Press., Stanford, Calif. (1962), 392-398. MR0145122 (26:2657)
    • (1962) Studies in Math. Anal. and Related Topics , pp. 392-398
    • Szegó, G.1
  • 18
    • 34247173171 scopus 로고
    • Inequalities concerning bessel functions and orthogonal polynomials
    • MR0048635 (14:44b)
    • V.K. Thiruvenkatachar and T.S. Nanjundiah, Inequalities concerning Bessel functions and orthogonal polynomials, Proc. Indian Nat. Acad. Part A 33 (1951), 373-384. MR0048635 (14:44b)
    • (1951) Proc. Indian Nat. Acad. Part A , vol.33 , pp. 373-384
    • Thiruvenkatachar, V.K.1    Nanjundiah, T.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.