메뉴 건너뛰기




Volumn 32, Issue 5, 2001, Pages 987-1013

Uniform asymptotic expansions for the reverse generalized Bessel polynomials, and related functions

Author keywords

Bessel polynomials; Liouville Green expansions; Turning point problems

Indexed keywords


EID: 0035538194     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099359068     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0000032737 scopus 로고
    • Über Sturm-Liouvillsche polynomsysteme
    • S. BOCHNER, Über Sturm-Liouvillsche Polynomsysteme, Math. Z., 29 (1929), pp. 730-736.
    • (1929) Math. Z. , vol.29 , pp. 730-736
    • Bochner, S.1
  • 2
    • 0001646557 scopus 로고
    • Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to legendre functions
    • W. G. C. BOYD AND T. M. DUNSTER, Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to Legendre functions, SIAM J. Math. Anal., 17 (1986), pp. 422-450.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 422-450
    • Boyd, W.G.C.1    Dunster, T.M.2
  • 3
    • 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), pp. 465-482.
    • (1992) Numer. Math. , vol.62 , pp. 465-482
    • Carpenter, A.J.1
  • 5
    • 49149132891 scopus 로고
    • On the zeros of the generalized Bessel polynomials
    • M. G. DE BRUIN, E. B. SAFF, AND R. S. VARGA, On the zeros of the generalized Bessel polynomials, Indag. Math., 43 (1981), pp. 1-25.
    • (1981) Indag. Math. , vol.43 , pp. 1-25
    • De Bruin, M.G.1    Saff, E.B.2    Varga, R.S.3
  • 6
    • 0003362846 scopus 로고
    • Bessel polynomials
    • Springer, New York
    • E. GROSSWALD, Bessel Polynomials, Lecture Notes in Math. 698, Springer, New York, 1978.
    • (1978) Lecture Notes in Math. , vol.698
    • Grosswald, E.1
  • 7
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomial
    • H. L. KRALL AND O. FRINK, A new class of orthogonal polynomials: The Bessel polynomial, Trans. Amer. Math. Soc., 65 (1949), pp. 100-115.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 100-115
    • Krall, H.L.1    Frink, O.2
  • 8
    • 0004074709 scopus 로고
    • Academic Press, New York, Reprinted by AK Peters, Wellesley, 1997
    • F. W. J. OLVER, Asymptotics and Special Functions, Academic Press, New York, 1974. Reprinted by AK Peters, Wellesley, 1997.
    • (1974) Asymptotics and Special Functions
    • Olver, F.W.J.1
  • 9
    • 0000667265 scopus 로고
    • Second-order linear differential equations with two turning points
    • F. W. J. OLVER, Second-order linear differential equations with two turning points, Philos. Trans. Roy. Soc. London Ser. A, 278 (1975), pp. 137-174.
    • (1975) Philos. Trans. Roy. Soc. London Ser. A , vol.278 , pp. 137-174
    • Olver, F.W.J.1
  • 10
    • 0000225334 scopus 로고
    • Sur quelques classes nouvelles des polynômes orthogonaux
    • V. ROMANOVSKY, Sur quelques classes nouvelles des polynômes orthogonaux, C. R. Acad. Sci. Paris Ser. I Math., 188 (1929), pp. 1023-1025.
    • (1929) C. R. Acad. Sci. Paris Ser. I Math. , vol.188 , pp. 1023-1025
    • Romanovsky, V.1
  • 11
    • 0007307716 scopus 로고
    • Delay network having maximally flat frequency characteristics
    • W. E. THOMPSON, Delay network having maximally flat frequency characteristics, Proc. Institute Electr. Engineers, 96 (1949), p. 487.
    • (1949) Proc. Institute Electr. Engineers , vol.96 , pp. 487
    • Thompson, W.E.1
  • 12
    • 0031556570 scopus 로고    scopus 로고
    • Asymptotic expansions of the generalized Bessel polynomials
    • R. WONG AND J.-M. ZHANG, Asymptotic expansions of the generalized Bessel polynomials, J. Comput. Appl. Math., 85 (1997), pp. 87-112.
    • (1997) J. Comput. Appl. Math. , vol.85 , pp. 87-112
    • Wong, R.1    Zhang, J.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.