본문 바로가기
KERD
논문KCI 등재

A note on the twisted Lerch type Euler zeta functions

서종진|김대산|Yuan He|Wenpeng Zhang
대한수학회 (The Korean Mathematical Society)|2013.03|대한수학회보 (Bulletin of the KMS)|제50권 제2호|pp. 659-665

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

q-Euler number and polynomialsq-Euler zeta functionsLerch type q-Euler zeta functionsq-analogue
주제분류수학

초록

In this note, the q-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. 47 (2010), no. 6, 1181–1188] is further investigated, and the generalized multiplication theorem for the q-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.

Abstract

In this note, the q-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. 47 (2010), no. 6, 1181–1188] is further investigated, and the generalized multiplication theorem for the q-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.

참고문헌 (19)

  1. Y. He, "Some congruences invloving Euler numbers", Fibonacci Quart, 46, pp.225~234 (2008)
  2. Y. He, "Some symmetric identities involving a sequence of polynomials", Electron. J. Combin, 17(1), pp.7~ (2010)
  3. Y. He, "Some sum relations involving Bernoulli and Euler polynomials", Integral Trans- forms Spec. Funct, 22(3), pp.207~215 (2011)
  4. 장이채, "On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals", 대한수학회지, 44(1), pp.1~10 (2007), 대한수학회
  5. 장이채, "THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS", 대한수학회보, 47(6), pp.1181~1188 (2010), 대한수학회
  6. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  7. T. Kim, "q-generalized Euler numbers and polynomials", Russ. J. Math. Phys, 13(3), pp.293~298 (2006)
  8. T. Kim, "On the analogs of Euler numbers and polynomials associated with p-adic q- integral on Zp at q = −1", J. Math. Anal. Appl, 331(2), pp.779~792 (2007)
  9. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14(12), pp.1267~1277 (2008)
  10. T. Kim, "p-adic interpolating function for q-Euler numbers and its derivatives", J. Math. Anal. Appl, 339(1), pp.598~608 (2008)
  11. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129(7), pp.1798~1804 (2009)
  12. T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Stirling umbers by the fermionic p-adic integral on Zp", J. Math. Phys, 16(4), pp.484~491 (2009)
  13. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76(2), pp.320~329 (1999)
  14. H. M. Liu, "Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums", Discrete Math, 309(10), pp.3346~3363 (2009)
  15. D. Q. Lu, "Some series identities involving the generalized Apostol type and related polynomials", Comput. Math. Appl, 62(9), pp.3591~3602 (2011)
  16. H. Ozden, "A new extension of q-Euler numbers and polynomials related to their interpolation functions", Appl. Math. Lett, 21(9), pp.934~939 (2008)
  17. S. H. Rim, "A note on p-adic Euler measure on Zp", Russ. J. Math. Phys, 13(3), pp.358~361 (2006)
  18. Y. Simsek, "On twisted q-Hurwitz zeta function and q-two-variable L-function", Appl. Math. Comput, 187(1), pp.466~473 (2007)
  19. Y. Simsek, "New approach to the complete sum of products of the twisted (h; q)-Bernoulli numbers and polynomials", J. Nonlinear Math. Phys, 14(1), pp.44~56 (2007)

관련 논문AI추천

ON THE TWISTED q-EULER ZETA FUNCTION ASSOCIATED WITH TWISTED q-EULER NUMBERS김영희, 김원주, 유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS장이채대한수학회 · 대한수학회보2010 · 제47권 제6호NOTE ON MULTIPLE q-ZETA FUNCTIONS장관우, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호A note on the values of Euler zeta functions at positive integers김태균, J. Choi, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호

이 간행물의 다른 논문 (31건)

Bifurcation analysis of a delayed predator-prey model of prey migration and predator switchingChangjin Xu, Maoxin Liao, Xianhua Tangpp. 353-373Weak and strong convergence theorems for a system of mixed equilibrium problems and a nonexpansive mapping in Hilbert spacesKamonrat Sombut, Somyot Plubtiengpp. 375-388Pure injective representations of quiversEsmaeil Hosseinipp. 389-398Thin additive bases for monic polynomials in Fq[t]Andreas O. Bender, 이윤진, 임보해pp. 399-405ON THE p-PRIMARY PART OF TATE-SHAFAREVICH GROUP OF ELLIPTIC CURVES OVER Q WHEN p IS SUPERSINGULAR김도형pp. 407-416
원문 보기