논문KCI 등재
A unified generating function of the q-genocchi polynomials with their interpolation functions
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초록
The purpose of this paper is to construct of the uni cation q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extensions of Hurwitz-zeta type functions from the Mellin transformation of this generating function which interpolates the uni ed of q-extension of Genocchi polynomials.
Abstract
The purpose of this paper is to construct of the uni cation q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extensions of Hurwitz-zeta type functions from the Mellin transformation of this generating function which interpolates the uni ed of q-extension of Genocchi polynomials.
참고문헌 (22)
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- Araci, S, "Di¤erent Approach On The (h; q) Genocchi Numbers and Polynomials Associated with q-Bernstein Polynomials"
- Araci, S, "New Construction weighted (h; q)-Genocchi numbers and Polynomials Related to Zeta Type Functions, Discrete Dynamics in Nature and Society(in press)"
- Araci, S, "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(in press)"
- Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
- Jolany, H, "Some Results for the Apostol-Genocchi polynomials of Higher Or- der, Accepted in Bulletin of the Malaysian Mathematical Sciences Society"
- Ryoo. C-S, "q-Bernoulli numbers and polynomials revisited, Accepted in Advances in Di¤erence Equations"
- Kim, T, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl, 326, pp.1458~1465 (2007)
- Kim, T, "On the multiple q-Genocchi and Euler numbers", Russian J. Math. Phys, 15(4), pp.481~486 (2008)
- T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
- Kim, T, "A Note on the q-Genocchi Numbers and Polynomials", Journal of Inequalities and Applications, pp.8~ (2007)[DOI]
- Kim, T, "q-Volkenborn integration", Russ. J. Math. phys, 9, pp.288~299 (2002)
- Kim, T, "An invariant p-adic q-integrals on Zp", Applied Mathematics Letters, 21, pp.105~108 (2008)
- Kim, T, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
- Kim, T, "New approach to q-Euler polynomials of higher order", Russ. J. Math. Phys, 17(2), pp.218~225 (2010)
- Kim, T, "Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16(4), pp.484~491 (2009)
- 김태균, "SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS", Advanced Studies in Contemporary Mathematics, 20(3), pp.335~341 (2010), 장전수학회
- 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회
- Ozden, H, "Uni.cation of generating function of the Bernoulli, Euler and Genocchi polyno- mials, Numerical Analysis and Applied mathematics", Amer. Inst. Phys. Conf. Proc, pp.1125~1128 (2010)
- Ozden, H, "p-adic distribution of the uni.cation of the Bernoulli, Euler and Genocchi poly- nomials", Applied Mathematics and Computation (2011)[DOI]
- Simsek, Y, "Construction a new generating function of Bernstein type polynomials, Applied Mathematics and Computation"
- Simsek, Y, "Generating functions for the Bernstein polynomials: A uni.ed approach de- riving identities for the Bernstein Basis functions, Applied Mathematics and Computation"
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