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Volumn 14, Issue 1, 1998, Pages 113-150

Uniform asymptotic expansions for Meixner polynomials

Author keywords

Meixner polynomials; Parabolic cylinder function; Steepest descent method; Uniform asymptotic expansions

Indexed keywords


EID: 0032351204     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900066     Document Type: Article
Times cited : (21)

References (16)
  • 2
    • 0001615732 scopus 로고
    • Uniform asymptotic expansion of Charlier polynomials
    • BO RUI, R. WONG (1994): Uniform asymptotic expansion of Charlier polynomials. Methods Appl. Anal., 1:294-313.
    • (1994) Methods Appl. Anal. , vol.1 , pp. 294-313
    • Rui, Bo.1    Wong, R.2
  • 3
    • 0003620605 scopus 로고
    • Cambridge: Cambridge University Press
    • E. T. COPSON (1965): Asymptotic Expansions. Cambridge: Cambridge University Press.
    • (1965) Asymptotic Expansions
    • Copson, E.T.1
  • 5
    • 0000093146 scopus 로고
    • Uniform asymptotic expansions of Laguerre polynomials
    • C. L. FRENZEN, R. WONG (1988): Uniform asymptotic expansions of Laguerre polynomials. SIAM J. Math. Anal., 19:1232-1248.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 1232-1248
    • Frenzen, C.L.1    Wong, R.2
  • 8
    • 0001152945 scopus 로고
    • Probabilistic proofs of asymptotic formulas for some classical polynomial
    • M. MAEJIMA, W. VAN ASSCHE (1985): Probabilistic proofs of asymptotic formulas for some classical polynomial. Math. Proc. Cambridge Philos. Soc., 97:499-510.
    • (1985) Math. Proc. Cambridge Philos. Soc. , vol.97 , pp. 499-510
    • Maejima, M.1    Van Assche, W.2
  • 10
    • 0000949640 scopus 로고
    • Uniform asymptotic expansions for Weber parabolic cylinder functions of large order
    • F. W. J. OLVER (1959): Uniform asymptotic expansions for Weber parabolic cylinder functions of large order. J. Res. Nat. Bur. Standards, Sect. B, 63:131-169.
    • (1959) J. Res. Nat. Bur. Standards, Sect. B , vol.63 , pp. 131-169
    • Olver, F.W.J.1
  • 12
    • 0025446806 scopus 로고
    • Transformation to canonical form for uniform asymptotic expansions
    • C. K. QU, R. WONG (1990): Transformation to canonical form for uniform asymptotic expansions. J. Math. Anal. Appl., 149:210-219.
    • (1990) J. Math. Anal. Appl. , vol.149 , pp. 210-219
    • Qu, C.K.1    Wong, R.2
  • 13
    • 0004073954 scopus 로고
    • Colloquium Publications, Providence, RI: American Mathematical Society
    • G. SZEGÖ (1975): Orthogonal Polynomials, 4th edn. Colloquium Publications, vol. 23. Providence, RI: American Mathematical Society.
    • (1975) Orthogonal Polynomials, 4th Edn. , vol.23
    • Szegö, G.1
  • 14
    • 0039660575 scopus 로고    scopus 로고
    • Laguerre polynomials: Asymptotics for large degree
    • 19
    • N. M. TEMME (19-): Laguerre polynomials: Asymptotics for large degree. CWI Report AM-R8610.
    • CWI Report AM-R8610
    • Temme, N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.