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Volumn 103, Issue 3, 1999, Pages 241-258

Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions

Author keywords

[No Author keywords available]

Indexed keywords

EXPANSION; RATIONAL FUNCTIONS;

EID: 0038937957     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00126     Document Type: Article
Times cited : (11)

References (21)
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    • Weinmann, A.1
  • 6
    • 31344435540 scopus 로고
    • On the theory of the Bernoulli polynomials and numbers
    • P. G. TODOROV, On the theory of the Bernoulli polynomials and numbers, J. Math. Anal. Appl. 104:309-350 (1984).
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 309-350
    • Todorov, P.G.1
  • 7
    • 38249034123 scopus 로고
    • Asymptotic behaviour of Bernoulli, Euler and generalized Bernoulli polynomials
    • K. DILCHER, Asymptotic behaviour of Bernoulli, Euler and generalized Bernoulli polynomials, J. Approx. Theor. 49:321-330 (1987).
    • (1987) J. Approx. Theor. , vol.49 , pp. 321-330
    • Dilcher, K.1
  • 8
    • 0040973058 scopus 로고
    • Zeros of the Bernoulli, generalized Bernoulli and Euler polynomials
    • 94
    • K. DILCHER, Zeros of the Bernoulli, generalized Bernoulli and Euler polynomials, Mem. Amer. Math. Soc. 73(386):iv+94 (1988).
    • (1988) Mem. Amer. Math. Soc. , vol.73 , Issue.386
    • Dilcher, K.1
  • 9
    • 38249025916 scopus 로고
    • The real zeros of the Bernoulli polynomials
    • D. J. LEEMING, The real zeros of the Bernoulli polynomials, J. Approx. Theor. 58:124-150 (1989).
    • (1989) J. Approx. Theor. , vol.58 , pp. 124-150
    • Leeming, D.J.1
  • 10
    • 0040378744 scopus 로고
    • New integral representations for Bernoulli and Euler polynomials
    • H. HARUKY and T. M. RASSIAS, New integral representations for Bernoulli and Euler polynomials, J. Math. Anal. Appl. 175:81-90 (1993).
    • (1993) J. Math. Anal. Appl. , vol.175 , pp. 81-90
    • Haruky, H.1    Rassias, T.M.2
  • 11
    • 75049084511 scopus 로고
    • New formulae for the Bernoulli and Euler polynomials at rational arguments
    • D. CVIJOVIC and J. KLINOWSKI, New formulae for the Bernoulli and Euler polynomials at rational arguments, Proc. Amer. Math. Soc. 123(5):1527-1535 (1995).
    • (1995) Proc. Amer. Math. Soc. , vol.123 , Issue.5 , pp. 1527-1535
    • Cvijovic, D.1    Klinowski, J.2
  • 18
    • 0041122953 scopus 로고
    • Uniform asymptotic expansions of laplace type integrals
    • N. M. TEMME, Uniform asymptotic expansions of Laplace type integrals, Analysis 3:221-249 (1983).
    • (1983) Analysis , vol.3 , pp. 221-249
    • Temme, N.M.1
  • 19
    • 0039786429 scopus 로고
    • Laplace type integrals: Transformation to standard form and uniform asymptotic expansions
    • N. M. TEMME, Laplace type integrals: Transformation to standard form and uniform asymptotic expansions, Quart. Appl. Math. 43:103-123 (1985).
    • (1985) Quart. Appl. Math. , vol.43 , pp. 103-123
    • Temme, N.M.1
  • 20
    • 0040378741 scopus 로고
    • Uniform asymptotic expansions of a class of integrals in terms of modified bessel functions, with application to confluent hypergeometric functions
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    • (1990) SIAM. J. Math. Anal. , vol.21 , pp. 241-261
    • Temme, N.M.1
  • 21
    • 0007032820 scopus 로고
    • Uniform asymptotic expansions of integrals: A selection of problems
    • N. M. TEMME, Uniform asymptotic expansions of integrals: A selection of problems, J. Comp. Appl. Math. 65:395-417 (1995).
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    • Temme, N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.