메뉴 건너뛰기




Volumn 43, Issue 25, 2010, Pages

Barnes-type multiple q-zeta functions and q-Euler polynomials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77953009040     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/25/255201     Document Type: Article
Times cited : (112)

References (31)
  • 3
    • 0000587072 scopus 로고
    • Stirling's series and Bernoulli numbers
    • Deeba E and Rodriguez D 1991 Stirling's series and Bernoulli numbers Am. Math. Monthly 98 423-6
    • (1991) Am. Math. Monthly , vol.98 , Issue.5 , pp. 423-426
    • Deeba, E.1    Rodriguez, D.2
  • 4
    • 69549098133 scopus 로고    scopus 로고
    • Convergence of q-Meyer-Konig-Zeller-Durrmeyer operators
    • Govil N K and Gupta V 2009 Convergence of q-Meyer-Konig-Zeller-Durrmeyer operators Adv. Stud. Contemp. Math. 19 97-108
    • (2009) Adv. Stud. Contemp. Math. , vol.19 , pp. 97-108
    • Govil, N.K.1    Gupta, V.2
  • 5
    • 64749089761 scopus 로고    scopus 로고
    • A study on the distribution of twisted q-Genocchi polynomials
    • Jang L-C 2009 A study on the distribution of twisted q-Genocchi polynomials Adv. Stud. Contemp. Math. 18 181-9
    • (2009) Adv. Stud. Contemp. Math. , vol.18 , pp. 181-189
    • Jang, L.-C.1
  • 7
    • 42649116068 scopus 로고    scopus 로고
    • The modified q-Euler numbers and polynomials
    • Kim T 2008 The modified q-Euler numbers and polynomials Adv. Stud. Contemp. Math. 16 161-70
    • (2008) Adv. Stud. Contemp. Math. , vol.16 , pp. 161-170
    • Kim, T.1
  • 8
    • 77951456839 scopus 로고    scopus 로고
    • Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integrals on
    • Kim T 2009 Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integrals on Russ. J. Math. Phys. 16 484-91
    • (2009) Russ. J. Math. Phys. , vol.16 , Issue.4 , pp. 484-491
    • Kim, T.1
  • 9
    • 0036631054 scopus 로고    scopus 로고
    • Q-Volkenborn integration
    • Kim T 2002 q-Volkenborn integration Russ. J. Math. Phys. 9 288-99
    • (2002) Russ. J. Math. Phys. , vol.9 , pp. 288-299
    • Kim, T.1
  • 10
    • 41149113289 scopus 로고    scopus 로고
    • A note on p-Adic q-integral on associated with q-Euler numbers
    • Kim T 2007 A note on p-Adic q-integral on associated with q-Euler numbers Adv. Stud. Contemp. Math. 15 133-8
    • (2007) Adv. Stud. Contemp. Math. , vol.15 , pp. 133-138
    • Kim, T.1
  • 11
    • 0141976231 scopus 로고    scopus 로고
    • On Euler-Barnes multiple zeta functions
    • Kim T 2003 On Euler-Barnes multiple zeta functions Russ. J. Math. Phys. 10 261-7
    • (2003) Russ. J. Math. Phys. , vol.10 , pp. 261-267
    • Kim, T.1
  • 12
    • 34648829072 scopus 로고    scopus 로고
    • Q-Extension of the Euler formula and trigonometric functions
    • Kim T 2007 q-Extension of the Euler formula and trigonometric functions Russ. J. Math. Phys. 14 275-8
    • (2007) Russ. J. Math. Phys. , vol.14 , Issue.3 , pp. 275-278
    • Kim, T.1
  • 13
    • 20844432935 scopus 로고    scopus 로고
    • Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function
    • Kim T 2005 Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function Russ. J. Math. Phys. 12 186-96
    • (2005) Russ. J. Math. Phys. , vol.12 , pp. 186-196
    • Kim, T.1
  • 14
    • 0037252731 scopus 로고    scopus 로고
    • Non-Archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials
    • Kim T 2003 Non-Archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials Russ. J. Math. Phys. 10 91-8
    • (2003) Russ. J. Math. Phys. , vol.10 , pp. 91-98
    • Kim, T.1
  • 15
    • 67349242946 scopus 로고    scopus 로고
    • Note on the Euler q-zeta functions
    • Kim T 2009 Note on the Euler q-zeta functions J. Number Theory 129 1798-804
    • (2009) J. Number Theory , vol.129 , Issue.7 , pp. 1798-1804
    • Kim, T.1
  • 16
    • 64749113176 scopus 로고    scopus 로고
    • Symmetry of power sum and twisted Bernoulli polynomials
    • Kim Y H and Hwang K W 2009 Symmetry of power sum and twisted Bernoulli polynomials Adv. Stud. Contemp. Math. 18 127-33
    • (2009) Adv. Stud. Contemp. Math. , vol.18 , pp. 127-133
    • Kim, Y.H.1    Hwang, K.W.2
  • 17
    • 58649118006 scopus 로고    scopus 로고
    • Remarks on q-Bernoulli numbers associated with Daehee numbers
    • Ozden H, Cangul I N and Simsek Y 2009 Remarks on q-Bernoulli numbers associated with Daehee numbers Adv. Stud. Contemp. Math. 18 41-8
    • (2009) Adv. Stud. Contemp. Math. , vol.18 , pp. 41-48
    • Ozden, H.1    Cangul, I.N.2    Simsek, Y.3
  • 19
    • 0000689401 scopus 로고
    • On a p-adic interpolation function for the Euler numbers and its derivatives
    • Shiratani K and Yamamoto S 1985 On a p-adic interpolation function for the Euler numbers and its derivatives Mem. Fac. Sci. A 39 113-25 Kyushu Univ.
    • (1985) Mem. Fac. Sci. , vol.39 , pp. 113-125
    • Shiratani, K.1    Yamamoto, S.2
  • 20
    • 33749535910 scopus 로고    scopus 로고
    • Theorems on twisted L-function and twisted Bernoulli numbers
    • Simsek Y 2005 Theorems on twisted L-function and twisted Bernoulli numbers Advan. Stud. Contemp. Math. 11 205-18
    • (2005) Advan. Stud. Contemp. Math. , vol.11 , pp. 205-218
    • Simsek, Y.1
  • 21
    • 36348967351 scopus 로고    scopus 로고
    • A Symmetry of power sum polynomials and Bernoulli numbers
    • Tuenter H J H 2001 A Symmetry of power sum polynomials and Bernoulli numbers Am. Math. Mon. 108 258-61
    • (2001) Am. Math. Mon. , vol.108 , Issue.3 , pp. 258-261
    • Tuenter, H.J.H.1
  • 22
    • 54549102060 scopus 로고    scopus 로고
    • Summation formulas of q-series by modified Abel's lemma
    • Zhang Z and Zhang Y 2008 Summation formulas of q-series by modified Abel's lemma Adv. Stud. Contemp. Math. 17 119-29
    • (2008) Adv. Stud. Contemp. Math. , vol.17 , pp. 119-129
    • Zhang, Z.1    Zhang, Y.2
  • 28
    • 21844512595 scopus 로고
    • Statistical interpretation of p-adic quantum theories with p-adic valued wave functions
    • Khrennikov A 1995 Statistical interpretation of p-adic quantum theories with p-adic valued wave functions J. Math. Phys. 12 6625-32
    • (1995) J. Math. Phys. , vol.36 , Issue.12 , pp. 6625-6632
    • Khrennikov, A.1
  • 29
    • 0034357401 scopus 로고    scopus 로고
    • On Barnes' multiple zeta and gamma functions
    • Ruijsenaars S N 2000 On Barnes' multiple zeta and gamma functions Adv. Math. 156 107-32
    • (2000) Adv. Math. , vol.156 , Issue.1 , pp. 107-132
    • Ruijsenaars, S.N.1
  • 31
    • 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 2005 q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series Russ. J. Math. Phys. 12 241-68
    • (2005) Russ. J. Math. Phys. , vol.12 , pp. 241-268
    • Srivastava, H.M.1    Kim, T.2    Simsek, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.