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Volumn 308, Issue 1, 2005, Pages 290-302

Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials

Author keywords

Apostol Bernoulli polynomials; Apostol Bernoulli polynomials of higher order; Apostol Euler polynomials; Apostol Euler polynomials of higher order; Bernoulli polynomials; Gaussian hypergeometric function; Hurwitz (or generalized) Zeta function; Hurwitz Lerch and Lipschitz Lerch Zeta functions; Lerch's functional equation; Stirling numbers of the second kind

Indexed keywords


EID: 19044388957     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.01.020     Document Type: Article
Times cited : (252)

References (12)
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    • D. Cvijović J. Klinowski New formulae for the Bernoulli and Euler polynomials at rational arguments Proc. Amer. Math. Soc. 123 1995 1527-1535
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 1527-1535
    • Cvijović, D.1    Klinowski, J.2
  • 6
    • 19044397438 scopus 로고    scopus 로고
    • On the Apostol-Bernoulli polynomials
    • Q.-M. Luo On the Apostol-Bernoulli polynomials Central European J. Math. 2 2004 509-515
    • (2004) Central European J. Math. , vol.2 , pp. 509-515
    • Luo, Q.-M.1
  • 7
    • 85045482849 scopus 로고    scopus 로고
    • Apostol-Euler polynomials of higher order and the Gaussian hypergeometric function
    • in press
    • Q.-M. Luo, Apostol-Euler polynomials of higher order and the Gaussian hypergeometric function, Taiwanese J. Math., in press
    • Taiwanese J. Math.
    • Luo, Q.-M.1
  • 8
    • 4243995184 scopus 로고
    • Vorlesungen über Differentzenrechnung
    • Berlin: Springer-Verlag Reprinted by Chelsea, Bronx, New York
    • N.E. Nörlund Vorlesungen über Differentzenrechnung 1924 Springer-Verlag Berlin Reprinted by Chelsea, Bronx, New York, 1954
    • (1924)
    • Nörlund, N.E.1
  • 9
    • 23044520680 scopus 로고    scopus 로고
    • Some formulas for the Bernoulli and Euler polynomials at rational arguments
    • H.M. Srivastava Some formulas for the Bernoulli and Euler polynomials at rational arguments Math. Proc. Cambridge Philos. Soc. 129 2000 77-84
    • (2000) Math. Proc. Cambridge Philos. Soc. , vol.129 , pp. 77-84
    • Srivastava, H.M.1
  • 11
    • 0000381058 scopus 로고
    • An explicit formula for the generalized Bernoulli polynomials
    • H.M. Srivastava P.G. Todorov An explicit formula for the generalized Bernoulli polynomials J. Math. Anal. Appl. 130 1988 509-513
    • (1988) J. Math. Anal. Appl. , vol.130 , pp. 509-513
    • Srivastava, H.M.1    Todorov, P.G.2
  • 12
    • 0039642782 scopus 로고
    • Une formule simple explicite des nombres de Bernoulli généralisés
    • P.G. Todorov Une formule simple explicite des nombres de Bernoulli généralisés C. R. Acad. Sci. Paris Sér. I Math. 301 1985 665-666
    • (1985) C. R. Acad. Sci. Paris Sér. I Math. , vol.301 , pp. 665-666
    • Todorov, P.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.