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Volumn 326, Issue 2, 2007, Pages 1458-1465

On the q-extension of Euler and Genocchi numbers

Author keywords

Bernoulli number; Bernoulli polynomials; Sums of powers

Indexed keywords


EID: 33751172538     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.037     Document Type: Article
Times cited : (162)

References (16)
  • 1
    • 0013075220 scopus 로고    scopus 로고
    • q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
    • Andrews G.E. q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Discrete Math. 204 (1999) 15-25
    • (1999) Discrete Math. , vol.204 , pp. 15-25
    • Andrews, G.E.1
  • 2
    • 84876844533 scopus 로고
    • q-Bernoulli numbers and polynomials
    • Carlitz L. q-Bernoulli numbers and polynomials. Duke Math. J. 15 (1948) 987-1000
    • (1948) Duke Math. J. , vol.15 , pp. 987-1000
    • Carlitz, L.1
  • 3
    • 0001225667 scopus 로고
    • q-Bernoulli and Eulerian numbers
    • Carlitz L. q-Bernoulli and Eulerian numbers. Trans. Amer. Math. Soc. 76 (1954) 332-350
    • (1954) Trans. Amer. Math. Soc. , vol.76 , pp. 332-350
    • Carlitz, L.1
  • 4
    • 0011371110 scopus 로고
    • Applications of a recurrence for the Bernoulli numbers
    • Howard F.T. Applications of a recurrence for the Bernoulli numbers. J. Number Theory 52 (1995) 157-172
    • (1995) J. Number Theory , vol.52 , pp. 157-172
    • Howard, F.T.1
  • 5
    • 30344435680 scopus 로고    scopus 로고
    • A note on q-Volkenborn integration
    • Kim T. A note on q-Volkenborn integration. Proc. Jangjeon Math. Soc. 8 1 (2005) 13-17
    • (2005) Proc. Jangjeon Math. Soc. , vol.8 , Issue.1 , pp. 13-17
    • Kim, T.1
  • 6
    • 20744439060 scopus 로고    scopus 로고
    • Sums of powers of consecutive q-integers
    • Kim T. Sums of powers of consecutive q-integers. Adv. Stud. Contemp. Math. vol. 9 (2004) 15-18
    • (2004) Adv. Stud. Contemp. Math. , vol.9 , pp. 15-18
    • Kim, T.1
  • 7
    • 1842579226 scopus 로고    scopus 로고
    • Analytic continuation of multiple q-zeta functions and their values at negative integers
    • Kim T. Analytic continuation of multiple q-zeta functions and their values at negative integers. Russian J. Math. Phys. 11 (2004) 71-76
    • (2004) Russian J. Math. Phys. , vol.11 , pp. 71-76
    • Kim, T.1
  • 9
    • 31244435713 scopus 로고    scopus 로고
    • On p-adic q-L-functions and sums of powers
    • Kim T. On p-adic q-L-functions and sums of powers. Discrete Math. 252 (2002) 179-187
    • (2002) Discrete Math. , vol.252 , pp. 179-187
    • Kim, T.1
  • 10
    • 33751182120 scopus 로고    scopus 로고
    • On the alternating sums of powers of consecutive integers
    • Kim T. On the alternating sums of powers of consecutive integers. Proc. Jangjeon Math. Soc. 8 2 (2005) 175-178
    • (2005) Proc. Jangjeon Math. Soc. , vol.8 , Issue.2 , pp. 175-178
    • Kim, T.1
  • 11
    • 33745004111 scopus 로고    scopus 로고
    • Arithmetic properties of generalized Euler numbers
    • Sagan B.E., and Zhang P. Arithmetic properties of generalized Euler numbers. South Asian Bull. Math. 21 (1997) 73-78
    • (1997) South Asian Bull. Math. , vol.21 , pp. 73-78
    • Sagan, B.E.1    Zhang, P.2
  • 12
    • 5344231392 scopus 로고    scopus 로고
    • q-analogues of the sums of consecutive integers, squares, cubes, quarts and quints
    • Research paper 71, p. 12
    • Schlosser M. q-analogues of the sums of consecutive integers, squares, cubes, quarts and quints. Electron. J. Combin. 11 1 (2004) Research paper 71, p. 12
    • (2004) Electron. J. Combin. , vol.11 , Issue.1
    • Schlosser, M.1
  • 13
    • 0000689401 scopus 로고
    • On a p-adic interpolation function for the Euler numbers and its derivatives
    • Shiratani K., and Yamamoto Y. On a p-adic interpolation function for the Euler numbers and its derivatives. Mem. Fac. Sci. Kyushu Univ. 39 (1985) 113-125
    • (1985) Mem. Fac. Sci. Kyushu Univ. , vol.39 , pp. 113-125
    • Shiratani, K.1    Yamamoto, Y.2
  • 14
    • 33749535910 scopus 로고    scopus 로고
    • Theorem on the twisted L-functions and twisted Bernoulli numbers
    • Simsek Y. Theorem on the twisted L-functions and twisted Bernoulli numbers. Adv. Stud. Contemp. Math. vol. 11 (2005) 205-218
    • (2005) Adv. Stud. Contemp. Math. , vol.11 , pp. 205-218
    • Simsek, Y.1
  • 15
    • 20744457221 scopus 로고    scopus 로고
    • q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series
    • Srivastava H.M., Kim T., and Simsek Y. q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series. Russian J. Math. Phys. 12 (2005) 101-106
    • (2005) Russian J. Math. Phys. , vol.12 , pp. 101-106
    • Srivastava, H.M.1    Kim, T.2    Simsek, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.