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Volumn 137, Issue 1, 2009, Pages 189-193

On a product of modified Bessel functions

Author keywords

Complete monotonicity; Modified Bessel functions; Tur n type inequalities

Indexed keywords


EID: 77950583212     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-08-09571-3     Document Type: Article
Times cited : (63)

References (15)
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    • Amos, D.E.1
  • 2
    • 34249065645 scopus 로고    scopus 로고
    • Turán type inequalities for generalized complete elliptic integrals
    • MR2308896
    • Baricz, Á., 2007, Turán type inequalities for generalized complete elliptic integrals. Mathematische Zeithschrift, 256 (4), 895-911. MR2308896
    • (2007) Mathematische Zeithschrift , vol.256 , Issue.4 , pp. 895-911
    • Baricz, A.1
  • 3
    • 52749086714 scopus 로고    scopus 로고
    • Turán type inequalities for hypergeometric functions
    • Baricz, Á., 2008, Turán type inequalities for hypergeometric functions. Proceedings of the American Mathematical Society, 136 (9), 3223-3229.
    • (2008) Proceedings of the American Mathematical Society , vol.136 , Issue.9 , pp. 3223-3229
    • Baricz, A.1
  • 4
    • 46149122293 scopus 로고    scopus 로고
    • Functional inequalities involving Bessel and modified Bessel functions of the first kind
    • Baricz, Á., 2008, Functional inequalities involving Bessel and modified Bessel functions of the first kind. Expositiones Mathematicae, 26 (3), 279-293.
    • (2008) Expositiones Mathematicae , vol.26 , Issue.3 , pp. 279-293
    • Baricz, A.1
  • 6
    • 67650184780 scopus 로고
    • An inequality for the Bessel functions of the first kind with imaginary argument
    • MR1503051
    • Gronwall, T. H., 1932, An inequality for the Bessel functions of the first kind with imaginary argument. Annals of Mathematics, 33 (2), 275-278. MR1503051
    • (1932) Annals of Mathematics , vol.33 , Issue.2 , pp. 275-278
    • Gronwall, T.H.1
  • 7
    • 0012158334 scopus 로고
    • Monotonicity of the zeros of a cross-product of Bessel functions
    • MR0486686 58:6388
    • Ismail, M. E. H. and Muldoon, M. E., 1978, Monotonicity of the zeros of a cross-product of Bessel functions. SIAM Journal on Mathematical Analysis, 9 (4), 759-767. MR0486686 (58:6388)
    • (1978) SIAM Journal on Mathematical Analysis , vol.9 , Issue.4 , pp. 759-767
    • Ismail, M.E.H.1    Muldoon, M.E.2
  • 9
    • 33746612844 scopus 로고    scopus 로고
    • On some turán-type inequalities
    • 2006, Article 29828, MR2221215 2007c:26028
    • Laforgia, A. and Natalini, P., 2006, On some Turán-type inequalities. Journal of Inequalities and Applications, 2006, Article 29828, 6 pp. MR2221215 (2007c:26028)
    • (2006) Journal of Inequalities and Applications , pp. 6
    • Laforgia, A.1    Natalini, P.2
  • 10
    • 68049120541 scopus 로고
    • Monotonicity of the zeros of a cross product of Bessel functions
    • MR1260384 95b:33008
    • Lorch, L., 1994, Monotonicity of the zeros of a cross product of Bessel functions. Methods and Applications of Analysis, 1 (1), 75-80. MR1260384 (95b:33008)
    • (1994) Methods and Applications of Analysis , vol.1 , Issue.1 , pp. 75-80
    • Lorch, L.1
  • 12
    • 0347035963 scopus 로고
    • Rational bounds for ratios of modified Bessel functions
    • MR0466662 57:6539
    • Nåsell, I., 1978, Rational bounds for ratios of modified Bessel functions. SIAM Journal on Mathematical Analysis, 9, 1-11. MR0466662 (57:6539)
    • (1978) SIAM Journal on Mathematical Analysis , vol.9 , pp. 1-11
    • Nåsell, I.1
  • 14
    • 77950553399 scopus 로고
    • Bessel function approximations
    • MR0035346 11:720d
    • Phillips, R. S. and Malin, H., 1950, Bessel function approximations. American Journal of Mathematics, 72, 407-418. MR0035346 (11:720d)
    • (1950) American Journal of Mathematics , vol.72 , pp. 407-418
    • Phillips, R.S.1    Malin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.