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Volumn 71, Issue 2, 1996, Pages 311-329

"Best possible" upper bounds for the first two positive zeros of the Bessel function Jv(x): The infinite case

Author keywords

Asymptotic expansion; Bessel function; Inequality; Zeros

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; FUNCTION EVALUATION; POLES AND ZEROS;

EID: 0030197112     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00220-0     Document Type: Article
Times cited : (13)

References (11)
  • 2
    • 21344486046 scopus 로고
    • More bounds on eigenvalue ratio for Dirichlet Laplacians in N dimensions
    • M.S. Ashbaugh and R.D. Benguria, More bounds on eigenvalue ratio for Dirichlet Laplacians in N dimensions, SIAM J. Math. Anal. 24 (1993) 1622-1651.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1622-1651
    • Ashbaugh, M.S.1    Benguria, R.D.2
  • 4
    • 0007340285 scopus 로고    scopus 로고
    • Error bounds for asymptotic approximations of zeros of transcendental functions
    • H.W. Hethcote, Asymptotic approximations with error bounds for zeros of Airy and Cylindrical functions, Doctoral Thesis, University of Michigan, Ann Arbor, 1968; Error bounds for asymptotic approximations of zeros of transcendental functions, SIAM J. Math. Anal. 1 (1970) 147-152.
    • (1970) SIAM J. Math. Anal. , vol.1 , pp. 147-152
  • 5
    • 21144481486 scopus 로고
    • Some inequalities for the first positive zeros of Bessel functions
    • L. Lorch, Some inequalities for the first positive zeros of Bessel functions, SIAM J. Math. Anal. 24 (1993) 814-823.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 814-823
    • Lorch, L.1
  • 6
    • 0030284810 scopus 로고    scopus 로고
    • "Best possible" upper bounds for the first positive zeros of the Bessel functions - The finite part
    • to appear
    • L. Lorch and R. Uberti, "Best possible" upper bounds for the first positive zeros of the Bessel functions - the finite part, J. Comp. Appl. Math. 72 (1996), to appear.
    • (1996) J. Comp. Appl. Math. , vol.72
    • Lorch, L.1    Uberti, R.2
  • 7
    • 0000611182 scopus 로고
    • The asymptotic expansion of Bessel functions of large order
    • F.W.J. Olver, The asymptotic expansion of Bessel functions of large order, Philos. Trans. Roy. Soc. London Ser. A 247 (1954) 328-368.
    • (1954) Philos. Trans. Roy. Soc. London Ser. A , vol.247 , pp. 328-368
    • Olver, F.W.J.1
  • 8
    • 84874374431 scopus 로고
    • Tables of Bessel functions of moderate or large orders
    • Her Majesty's Stationery Office, London
    • F.W.J. Olver, Tables of Bessel functions of moderate or large orders, Math. Tables Nat. Phys. Lab., Vol. 6, Her Majesty's Stationery Office, London, 1962.
    • (1962) Math. Tables Nat. Phys. Lab. , vol.6
    • Olver, F.W.J.1
  • 9
    • 0042857920 scopus 로고
    • Error bounds for first approximations in turning point problems
    • F.W.J. Olver, Error bounds for first approximations in turning point problems, J. Soc. Ind. Appl. Math. 11 (1963) 748-772.
    • (1963) J. Soc. Ind. Appl. Math. , vol.11 , pp. 748-772
    • Olver, F.W.J.1
  • 10
    • 0042356847 scopus 로고
    • Error bounds for asymptotic expansions in turning point problems
    • F.W.J. Olver, Error bounds for asymptotic expansions in turning point problems, J. Soc. Ind. Appl. Math. 12 (1964) 200-214.
    • (1964) J. Soc. Ind. Appl. Math. , vol.12 , pp. 200-214
    • Olver, F.W.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.