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A note on the modified q-Euler numbers and polynomials with weight
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Recently, Kim-Lee-Choi-Kim introduced q-Euler numbers and polynomials with weight (see [5]). In this paper, we study the modified q-Euler numbers adn polynomials with weight α which are different from the weighted q-Euler numbers and polynomials of Kim-Lee-Choi-Kim. From these numbers and polynomials, we establish some interesting identities and relations.
Abstract
Recently, Kim-Lee-Choi-Kim introduced q-Euler numbers and polynomials with weight (see [5]). In this paper, we study the modified q-Euler numbers adn polynomials with weight α which are different from the weighted q-Euler numbers and polynomials of Kim-Lee-Choi-Kim. From these numbers and polynomials, we establish some interesting identities and relations.
참고문헌 (9)
- M. Acikgoz, "On multiple interpolation function of the Norlund type q Euler polyno mials", Abst. Appl. Anal, (2009), pp.14~ (2009)
- 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)
- T. Kim, "Barnes type multiple q zeta functions and q Euler polynomials", J. Phys. A: Math. Theor, 43(255201), pp.11~ (2010)
- T. Kim, "q Bernoulli numbers and polynomials associated with Gaussian binomial coecients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
- 김태균, "A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(1), pp.7~14 (2011), 장전수학회
- H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
- Jongsung Choi, "Division of General Education Mathematics", pp.139~701, Kwangwoon Univer sity
- Taekyun Kim, "Division of General Education Mathematics", pp.139~701, Kwangwoon University
- Young Hee Kim, "Division of General Education Mathematics", pp.139~701, Kwangwoon Univer
관련 논문AI추천
A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호On the Modified q-Euler Numbers and Polynomials withWeak Weight 0권종겸, 박진우, 임석훈, 표성수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호A note on the weighted Carlitz’s type q-Euler numbers and q-Bernstein polynomials이선정, 임석훈, 정주희, 진종희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호On the (w,q)-Euler numbers and polynomials with weight α김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호On the q-analogue of Euler measure with weight αB. Lee, C. S. Ryoo, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호
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