본문 바로가기
KERD
논문KCI 등재

Interpolation function of the multiple twisted q-Genocchi polynomials with weak weight α

유천성|강정욱
장전수학회 (Jangjeon Mathematical Society)|2013.07|Advanced Studies in Contemporary Mathematics|제23권 제3호|pp. 489-498

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Recently, many mathematicians have studies different kinds of the q-analogue of Genocchi numbers and polynomials(see [1-21]). In this paper, we give another definition of the multiple Hurwitz type q-zeta function with weak weight α. This function interpolates multiple twisted q-Genocchi polynomials with weak weight α at negative integers. Also we give some identities related to these polynomials.

Abstract

Recently, many mathematicians have studies different kinds of the q-analogue of Genocchi numbers and polynomials(see [1-21]). In this paper, we give another definition of the multiple Hurwitz type q-zeta function with weak weight α. This function interpolates multiple twisted q-Genocchi polynomials with weak weight α at negative integers. Also we give some identities related to these polynomials.

참고문헌 (21)

  1. T. Kim, "A note on p -adic q-integral on Z_p associated with q-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.133~137 (2007), 장전수학회
  2. T. Kim, "A note on the q-Genocchi numbers and polynomials", Journal of Inequalities and Applications, pp.8~ (2007)
  3. T. Kim, "q-Volkenborn integration", Russian Journal of Mathematical Physics, 9(3), pp.288~299 (2002)
  4. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russian Journal of Mathematical Physics, 15(4), pp.481~486 (2008)
  5. 김태균, "New approach to q-Euler, Genocchi numbers and their interpolation functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.105~112 (2009), 장전수학회
  6. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russian Journal of Mathematical Physics, 15(4), pp.481~486 (2008)
  7. T. Kim, "On the q-extension of Euler and Genocchi numbers", Journal of Mathematical Analysis and Application, 326(2), pp.1458~1465 (2007)
  8. S. H. Rim, "On Genocchi numbers and polynomials", Abstract and Applied Mathematics, pp.7~ (2008)
  9. S. H. Rim, "On Multiple Interpolation Functions of the q-Genocchi Polynomials", Journal of Inequalities and Applications, pp.13~ (2010)
  10. S.-H. Rim, "On the q-Genocchi numbers and polynomials associated with q-zeta function", Proceedings of the Jangjeon Mathematical Society, (12), pp.261~267 (2009)
  11. S.-H. Rim, "Some identities on the q-Genocchi poly- nomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Z p", International Journal of Mathematics and Mathematical Sciences, pp.14~ (2010)
  12. C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
  13. C. S. Ryoo, "A numerical computation on the structure of the roots of q-extension of Genocchi polynomials", Applied Mathematics Letters, 21(4), pp.348~354 (2008)
  14. C. S. Ryoo, "On the twisted q-Gnocchi numbers and polynomials with weak weight α", Applied Mathematical Sciences, 6(45), pp.2219~2226 (2012)
  15. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  16. Mehmet Cenkci, "q-extension of Genocchi numbers", 대한수학회지, 43(1), pp.183~198 (2006), 대한수학회
  17. Veli Kurt, "A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS", 대한수학회보, 47(3), pp.575~583 (2010), 대한수학회
  18. L.-C. Jang, "A note on (h, q)-Genocchi polynomials and num- bers of higher order", Adv. Difference. Equ., pp.6~ (2010)
  19. T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
  20. S. Araci, "A study on the fermionic p-adic q-integral representation on Zp associated with weighted q-Bernstein and q-Genocchi polynomials", Abstract and Applied Analysis, pp.10~ (2011)
  21. Mehmet Acikgoz, "On Multiple Interpolation Functions of the Norlund-Type q-Euler Polynomials", Abstract and Applied Analysis, pp.1~15 (2009)[DOI]

이 간행물의 다른 논문 (14건)

Closeness and equivalence of some unbounded representations of amenable groupsA. I. Shternpp. 367-373Coupled fixed points of contraction maps with a rational expression in partially ordered metric spacesG. V. R. BABU, P. D. Sailaja, P. Subhashinipp. 375-391Combinatorial identities involving harmonic and hyperharmonic numbers김대산, 이상훈, 김태균pp. 393-415THE BOUNDS OF THE COEFFICIENTS OF THE CHARACTERISTIC POLYNOMIALS FOR ABELIAN VARIETIES OF DIMENSION 5 OVER FINITE FIELDS손교용pp. 417-422Control of the linear systems under uncertaintyDmitriy V. Dolgypp. 423-429
원문 보기