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A RECURRENCE FORMULA FOR q-EULER NUMBERS OF HIGHER ORDER
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In this paper, we consider Carlitz's type q-Euler numbers and polynomials of higher order and give a recurrence formula for these q-Euler numbers and polynomials of higher order. We obtain a distribution relation for the q-Euler polynomials and have some identities for the q-Euler numbers and polynomials.
Abstract
In this paper, we consider Carlitz's type q-Euler numbers and polynomials of higher order and give a recurrence formula for these q-Euler numbers and polynomials of higher order. We obtain a distribution relation for the q-Euler polynomials and have some identities for the q-Euler numbers and polynomials.
참고문헌 (14)
- L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Mathematical Journal, 15, pp.987~1000 (1948)
- L. Carlitz, "q-Bernoulli Eulerian numbers", Transactions of the American Mathematical Society, 75, pp.332~350 (1954)
- T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", Journal of Non-linear Mathematical Physics, 14, pp.15~27 (2007)
- T. Kim, "On the q-extension of Euler and Genocchi numbers", Journal of Mathematical Analysis and Applications, 326, pp.1458~1465 (2007)
- Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
- T. Kim, "Note on the Euler q-zeta functions", J. of Number Theory, 129, pp.1798~1804 (2009)
- T. Kim, "Some identities on the q-Euler polynomials of higher order and q-Sirling numbers by the fermionic p-adic integral on Zp", Russian Journal of Mathematical Physics, 16, pp.484~491 (2009)
- T. Kim, "New approach to q-Euler numbers and polynomials", Advances in Difference Equations, 2010, pp.9~ (2010)
- Y.-H. Kim, "On the q-extension of Apostol-Euler numbers and polynomials", Abstract and Applied Analysis, 2008, pp.10~ (2008)
- T. Kim, "Barnes-type multiple q-Zeta functions and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.255201~ (2010)
- 김태균, "NOTE ON CARLITZ’S TYPE q-EULER NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(2), pp.149~155 (2010), 장전수학회
- 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 new extension of q-Euler numbers and polynomials related to their interpolation functions", Applied Mathematics Letters, 21, pp.934~939 (2008)
- H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
관련 논문AI추천
NOTE ON CARLITZ’S TYPE q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · 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 제4호A 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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