메뉴 건너뛰기




Volumn 21, Issue 4, 2010, Pages 307-318

Some results on power sums and Apostol-type polynomials

Author keywords

Apostol Bernoulli polynomials; Apostol Euler polynomials; Combinatorial identities; Multiplication formulae; Power sums

Indexed keywords


EID: 77951017339     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460903169288     Document Type: Article
Times cited : (17)

References (19)
  • 2
    • 84972529289 scopus 로고
    • On the Lerch zeta function
    • T.M. Apostol, On the Lerch zeta function, Pacific J. Math. 1 (1951), pp. 161-167.
    • (1951) Pacific J. Math , vol.1 , pp. 161-167
    • Apostol, T.M.1
  • 3
    • 42649116806 scopus 로고    scopus 로고
    • Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta function
    • J. Choi, P.J. Anderson, and H.M. Srivastava, Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta function, Appl. Math. Comput. 199 (2) (2008) pp. 723-737.
    • (2008) Appl. Math. Comput , vol.199 , Issue.2 , pp. 723-737
    • Choi, J.1    Anderson, P.J.2    Srivastava, H.M.3
  • 4
    • 0000587072 scopus 로고
    • Stirling's series and Bernoulli numbers
    • E.Y. Deeba and D.M. Rodriguez, Stirling's series and Bernoulli numbers, Amer. Math. Monthly 98 (5) (1991), pp. 423-426.
    • (1991) Amer. Math. Monthly , vol.98 , Issue.5 , pp. 423-426
    • Deeba, E.Y.1    Rodriguez, D.M.2
  • 5
    • 33749589040 scopus 로고    scopus 로고
    • Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions
    • M. Garg, K. Jain, and H.M. Srivastava, Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions, Integral Transforms Spec. Funct. 17 (11) (2006), pp. 803-815.
    • (2006) Integral Transforms Spec. Funct , vol.17 , Issue.11 , pp. 803-815
    • Garg, M.1    Jain, K.2    Srivastava, H.M.3
  • 6
    • 36348933548 scopus 로고
    • Solution to problem E3237
    • I. Gessel, Solution to problem E3237, Amer. Math. Monthly 96 (1989), p. 364.
    • (1989) Amer. Math. Monthly , vol.96 , pp. 364
    • Gessel, I.1
  • 7
    • 0011371110 scopus 로고
    • Applications of a recurrence for the Bernoulli numbers
    • F.T. Howard, Applications of a recurrence for the Bernoulli numbers, J. Number Theory 52 (1) (1995), pp. 157-172.
    • (1995) J. Number Theory , vol.52 , Issue.1 , pp. 157-172
    • Howard, F.T.1
  • 8
    • 54349090638 scopus 로고    scopus 로고
    • p for Bernoulli and Euler polynomials
    • p for Bernoulli and Euler polynomials, J. Difference Equ. Appl. 14(12)(2008), pp. 1267-1277.
    • (2008) J. Difference Equ. Appl , vol.14 , Issue.12 , pp. 1267-1277
    • Kim, T.1
  • 9
    • 67349223315 scopus 로고    scopus 로고
    • Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
    • H. Liu and W. Wang, Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums, Discrete Math. 309 (10) (2009), pp. 3346-3363.
    • (2009) Discrete Math , vol.309 , Issue.10 , pp. 3346-3363
    • Liu, H.1    Wang, W.2
  • 10
    • 19044397438 scopus 로고    scopus 로고
    • On the Apostol-Bernoulli polynomials
    • Q.-M. Luo, On the Apostol-Bernoulli polynomials, Cent. Eur. J. Math. 2 (4) (2004), pp. 509-515.
    • (2004) Cent. Eur. J. Math , vol.2 , Issue.4 , pp. 509-515
    • Luo, Q.-M.1
  • 11
    • 33747419087 scopus 로고    scopus 로고
    • Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
    • Q.-M. Luo, Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions, Taiwanese J. Math. 10(4)(2006), pp. 917-925.
    • (2006) Taiwanese J. Math , vol.10 , Issue.4 , pp. 917-925
    • Luo, Q.-M.1
  • 12
    • 19044388957 scopus 로고    scopus 로고
    • Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
    • Q.-M. Luo and H.M. Srivastava, Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials, J. Math. Anal. Appl. 308 (1) (2005), pp. 290-302.
    • (2005) J. Math. Anal. Appl , vol.308 , Issue.1 , pp. 290-302
    • Luo, Q.-M.1    Srivastava, H.M.2
  • 13
    • 33745719864 scopus 로고    scopus 로고
    • Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
    • Q.-M. Luo and H.M. Srivastava, Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials, Comput. Math. Appl. 51 (3-4) (2006), pp. 631-642.
    • (2006) Comput. Math. Appl , vol.51 , Issue.3-4 , pp. 631-642
    • Luo, Q.-M.1    Srivastava, H.M.2
  • 14
    • 36348967351 scopus 로고    scopus 로고
    • A symmetry of power sum polynomials and Bernoulli numbers,Amer
    • H.J.H. Tuenter, A symmetry of power sum polynomials and Bernoulli numbers,Amer. Math. Monthly 108 (3) (2001), pp. 258-261.
    • (2001) Math. Monthly , vol.108 , Issue.3 , pp. 258-261
    • Tuenter, H.J.H.1
  • 15
    • 38849106160 scopus 로고    scopus 로고
    • Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
    • W. Wang, C. Jia, and T. Wang, Some results on the Apostol-Bernoulli and Apostol-Euler polynomials, Comput. Math. Appl. 55 (6) (2008), pp. 1322-1332.
    • (2008) Comput. Math. Appl , vol.55 , Issue.6 , pp. 1322-1332
    • Wang, W.1    Jia, C.2    Wang, T.3
  • 17
    • 36349032923 scopus 로고    scopus 로고
    • An identity of symmetry for the Bernoulli polynomials
    • S.-l. Yang, An identity of symmetry for the Bernoulli polynomials, Discrete Math. 308 (4) (2008), pp. 550-554.
    • (2008) Discrete Math , vol.308 , Issue.4 , pp. 550-554
    • Yang, S.-L.1
  • 18
    • 39749184773 scopus 로고    scopus 로고
    • Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
    • P.T. Young, Degenerate Bernoulli polynomials, generalized factorial sums, and their applications, J. NumberTheory 128(4)(2008), pp. 738-758.
    • (2008) J. NumberTheory , vol.128 , Issue.4 , pp. 738-758
    • Young, P.T.1
  • 19
    • 55649096851 scopus 로고    scopus 로고
    • Several identities for the generalized Apostol-Bernoulli polynomials
    • Z. Zhang and H. Yang, Several identities for the generalized Apostol-Bernoulli polynomials, Comput. Math. Appl. 56(12)(2008), pp. 2993-2999.
    • (2008) Comput. Math. Appl , vol.56 , Issue.12 , pp. 2993-2999
    • Zhang, Z.1    Yang, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.