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On the Barnes' type multiple Euler polynomials
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Using fermionic p-adic invariant integral on Zp, we study Barnes' type multiple Euler numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Euler numbers and polynomials.
Abstract
Using fermionic p-adic invariant integral on Zp, we study Barnes' type multiple Euler numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Euler numbers and polynomials.
참고문헌 (11)
- T. Kim, "On Euler-Barnes multiple zeta function", Russ. J. Math. Phys., 10, pp.261~267 (2003)
- T. Kim, "Barnes-type multiple q-zeta functions and q-Euler polynomials", J. Phys. A : Math. Theor., 43, pp.255201~ (2010)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9, pp.288~299 (2002)
- T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
- 장이채, "A study on the distribution of twisted q-Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.181~189 (2009), 장전수학회
- L. C. Jang, "On Witt's formula for the Barnes' multiple Bernoulli polynomials", Far East J. Math. Sci., 13, pp.309~317 (2004)
- H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
- H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
- K. Shiratani, "On a p-adic interpolation function for the Euler numbers and its derivatives", Mem. Fac. Sci. Kyushu Univ. A, 39, pp.113~125 (1985)
- K. Ota, "On Kummer type congruences for derivatives of Bernes multiple polynomi-als", J. Number Theory, 92, pp.1~36 (2002)
- T. Kim, "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, pp.484~491 (2009)
관련 논문AI추천
On the q-extension of higher-order Euler polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호On extended Carlitz’'s type q-Euler numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호Identities of symmetry for (h,q)-extensions of generalized higher-order Euler polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호
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