On multiple interpolation functions of the q-Genocchi numbers and polynomials with weight α and weak weight β
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Recently, many mathematicians have studies different kinds of the qanalogue of Genocchi numbers and polynomials(see [1-24]). In this paper, we give another definition of the multiple q-Genocchi numbers and polynomials with weight α and weak weight β. And we give some identities related to these numbers and polynomials with weight α and weak weight β. Also, we construct multiple interpolation functions of the q-Genocchi numbers and polynomials with weight α and weak weight β.
Abstract
Recently, many mathematicians have studies different kinds of the qanalogue of Genocchi numbers and polynomials(see [1-24]). In this paper, we give another definition of the multiple q-Genocchi numbers and polynomials with weight α and weak weight β. And we give some identities related to these numbers and polynomials with weight α and weak weight β. Also, we construct multiple interpolation functions of the q-Genocchi numbers and polynomials with weight α and weak weight β.
참고문헌 (23)
- I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
- I. N. Cangul, "A new approach to q-Genocchi numbers and their interpolation functions, Nonlinear Analysis", Theory, Methods and Applications, 71, pp.793~799 (2009)
- D. Dumont, "A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers", Annals of Discrete Mathematics, 6, pp.77~87 (1980)
- H. Liu, "Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums", Discrete Mathematics, 309(10), pp.3346~3363 (2009)
- Q. M. Luo, "The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order", Integral Transforms and Special Functions, 20(5), pp.377~391 (2009)
- H. M. Srivastava, "Some formulae for the Bernoulli and Euler polynomials at rational argument", Math.Proc. Cambridge Philos. Soc, 129(1), pp.77~84 (2000)
- J. Zeng, "A q-analog of the Seidel generation of Genocchi numbers", European Journal of Combinatorics, 27(3), pp.364~381 (2006)
- Mehmet Cenkci, "$q$-Extensions of Genocchi Numbers", 대한수학회지, 43(1), pp.183~198 (2006), 대한수학회
- Veli Kurt, "A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS", 대한수학회보, 47(3), pp.575~583 (2010), 대한수학회
- L.-C. Jang, "A note on (h, q)-Genocchi polynomials and numbers of higher order", Adv. Difference. Equ, pp.6~ (2010)
- 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
- T. Kim, "A note on the q-Genocchi numbers and polynomials", Journal of Inequalities and Applications (2007)
- T. Kim, "q-Volkenborn integration", Russian Journal of Mathematical Physics, 9(3), pp.288~299 (2002)
- T. Kim, "On the multiple q-Genocchi and Euler numbers", Russian Journal of Mathematical Physics, 15(4), pp.481~486 (2008)
- 김태균, "New approach to q-Euler, Genocchi numbers and their interpolation functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.105~112 (2009), 장전수학회
- T. Kim, "On the q-extension of Euler and Genocchi numbers", Journal of Mathematical Analysis and Application, 326(2), pp.1458~1465 (2007)
- S. H. Rim, "On Genocchi numbers and polynomials", Abstract and Applied Mathematics (2008)
- S. H. Rim, "On Multiple Interpolation Functions of the q-Genocchi Polynomials", Journal of Inequalities and Applications (2010)
- 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)
- S.-H. Rim, "Some identities on the q-Genocchi polynomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Zp", International Journal of Mathematics and Mathematical Sciences (2010)
- C. S. Ryoo, "Calculating zeros of the twisted Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.147~159 (2008), 장전수학회
- 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)
- C. S. Ryoo, "A numerical computation on the structure of the roots of (h,q)-extension of Genocchi polynomials", Mathematical and Computer Modelling, 49(3), pp.463~474 (2009)
