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Volumn 34, Issue 3, 2005, Pages 467-485

Incomplete gamma functions for large values of their variables

Author keywords

Incomplete gamma function; Uniform asymptotic expansions

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; POLYNOMIALS;

EID: 14844297763     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aam.2004.08.001     Document Type: Article
Times cited : (18)

References (12)
  • 3
    • 0038937957 scopus 로고    scopus 로고
    • Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions
    • J.L. López N.M. Temme Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions Stud. Appl. Math. 103 1999 241-258
    • (1999) Stud. Appl. Math. , vol.103 , pp. 241-258
    • López, J.L.1    Temme, N.M.2
  • 4
    • 0035413296 scopus 로고    scopus 로고
    • The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis
    • J.L. López N.M. Temme The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis J. Comput. Appl. Math. 133 2001 623-633
    • (2001) J. Comput. Appl. Math. , vol.133 , pp. 623-633
    • López, J.L.1    Temme, N.M.2
  • 5
    • 14844286349 scopus 로고    scopus 로고
    • Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials
    • in press
    • J.L. López, N.M. Temme, Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials, Proc. Roy. Soc. Edinburgh Sect. A, in press
    • Proc. Roy. Soc. Edinburgh Sect. A
    • López, J.L.1    Temme, N.M.2
  • 6
    • 0242431860 scopus 로고
    • Ueber die Nullstellen der unvollstaendigen Gammafunktionen
    • K. Mahler Ueber die Nullstellen der unvollstaendigen Gammafunktionen Rend. Circ. Mat. Palermo 54 1930 1-41
    • (1930) Rend. Circ. Mat. Palermo , vol.54 , pp. 1-41
    • Mahler, K.1
  • 7
    • 0042112484 scopus 로고
    • Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms
    • F.W.J. Olver Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms SIAM J. Math. Anal. 22 1991 1475-1489
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1475-1489
    • Olver, F.W.J.1
  • 8
    • 0037113844 scopus 로고    scopus 로고
    • A uniform asymptotic expansion for the incomplete gamma function
    • R.B. Paris A uniform asymptotic expansion for the incomplete gamma function J. Comput. Appl. Math. 148 2002 323-339
    • (2002) J. Comput. Appl. Math. , vol.148 , pp. 323-339
    • Paris, R.B.1
  • 9
    • 0000437477 scopus 로고
    • The asymptotic expansion of the incomplete gamma functions
    • N.M. Temme The asymptotic expansion of the incomplete gamma functions SIAM J. Math. Anal. 10 1979 757-766
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 757-766
    • Temme, N.M.1
  • 10
    • 0242683897 scopus 로고    scopus 로고
    • Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
    • N.M. Temme Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters Methods Appl. Anal. 3 1996 335-344
    • (1996) Methods Appl. Anal. , vol.3 , pp. 335-344
    • Temme, N.M.1
  • 12
    • 0342428206 scopus 로고
    • Asymptotische Eigenschaften der unvollständigen Gammafunktion
    • F.G. Tricomi Asymptotische Eigenschaften der unvollständigen Gammafunktion Math. Z. 53 1950 136-148
    • (1950) Math. Z. , vol.53 , pp. 136-148
    • Tricomi, F.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.