논문KCI 등재
HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS
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초록
The main purpose of this paper is to present explicit formulas for the q-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on Zp. By using these formulas, we give a relation between the multiple twisted Hurwitz q-zeta function ³(k)q;¸(s; x) and the multiple twisted two-variable q-l-function l(k)q;¸(s; x; Â): We also derive the values of ³(k)q;¸(s; x) and l(k)q;¸(s; x; Â) at s = 0:－1,....
Abstract
The main purpose of this paper is to present explicit formulas for the q-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on Zp. By using these formulas, we give a relation between the multiple twisted Hurwitz q-zeta function ³(k)q;¸(s; x) and the multiple twisted two-variable q-l-function l(k)q;¸(s; x; Â): We also derive the values of ³(k)q;¸(s; x) and l(k)q;¸(s; x; Â) at s = 0:－1,....
참고문헌 (18)
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관련 논문AI추천
EXTENSION OF THE HIGHER-ORDER TWISTED q-EULER NUMBERS AND POLYNOMIALS WITH MULTI WEIGHT βi AND HIGHER hi강정욱, 유천성, 정남순, H.Y. Lee장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호On the q-extension of higher-order Euler polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호Note on the q-Euler numbers of higher order김태균장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호On the modified q-Euler numbers of higher order with weightJ. H. Jeong, S. H. Rim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A 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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