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Volumn 85, Issue 1, 1997, Pages 87-112

Asymptotic expansions of the generalized Bessel polynomials

Author keywords

Generalized Bessel polynomials; Steepest descent method; Uniform asymptotic expansions; Zeros

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FUNCTIONS;

EID: 0031556570     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00131-3     Document Type: Article
Times cited : (9)

References (13)
  • 1
    • 0007253394 scopus 로고
    • Asymptotics for the zeros of the generalized Bessel polynomials
    • A.J. Carpenter, Asymptotics for the zeros of the generalized Bessel polynomials, Numer. Math. 62 (1992) 465-482.
    • (1992) Numer. Math. , vol.62 , pp. 465-482
    • Carpenter, A.J.1
  • 2
    • 0042937365 scopus 로고
    • Sur les zéros des polynômes de Bessel, (II) and (III)
    • M. Chellali, Sur les zéros des polynômes de Bessel, (II) and (III), C.R. Acad. Sci. Paris 307 Série I (1988) 547-550 and 651-654.
    • (1988) C.R. Acad. Sci. Paris , vol.307 , Issue.1 SERIE , pp. 547-550
    • Chellali, M.1
  • 4
    • 49149133506 scopus 로고
    • On the zeros of generalized Bessel polynomials, I and II
    • M.G. de Bruin, E.B. Saff, R.S. Varga, On the zeros of generalized Bessel polynomials, I and II, Indag. Math. 43 (1981) 1-25.
    • (1981) Indag. Math. , vol.43 , pp. 1-25
    • De Bruin, M.G.1    Saff, E.B.2    Varga, R.S.3
  • 6
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomial
    • H.L. Krall, O. Frink, A new class of orthogonal polynomials: the Bessel polynomial, Trans. Amer. Math. Soc. 65 (1949) 100-115.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 100-115
    • Krall, H.L.1    Frink, O.2
  • 10
    • 0007307716 scopus 로고
    • Delay network having maximally flat frequency characteristics
    • W.E. Thomson, Delay network having maximally flat frequency characteristics, Proc. Institute Electr. Engrs 96 (1949) Part III, p. 487.
    • (1949) Proc. Institute Electr. Engrs , vol.96 , Issue.3 PART , pp. 487
    • Thomson, W.E.1
  • 11
    • 0041047544 scopus 로고
    • Integrals with a large parameter: Paths of descent and conformal mappings
    • F. Ursell, Integrals with a large parameter: paths of descent and conformal mappings, Proc. Cambridge Philos. Soc. 67 (1970) 371-381.
    • (1970) Proc. Cambridge Philos. Soc. , vol.67 , pp. 371-381
    • Ursell, F.1
  • 12
    • 0041935650 scopus 로고
    • Review of E. Grosswald's book 'Bessel polynomials'
    • J. Wimp, Review of E. Grosswald's book 'Bessel Polynomials', SIAM Rev. 22 (1980) 104-106.
    • (1980) SIAM Rev. , vol.22 , pp. 104-106
    • Wimp, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.