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Note on the q-Euler numbers of higher order

김태균
장전수학회 (Jangjeon Mathematical Society)|2009.07|Advanced Studies in Contemporary Mathematics|제19권 제1호|pp. 25-29

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참고문헌

키워드

q-Euler numbersq-Euler polynomialsp-adic fermionic q-integral.
주제분류수학

초록

The purpose of this paper is to give a new definition of the extension of q-Euler numbers and polynomials by using a p-adic fermionic q-integarl in the p-adic number field.

Abstract

The purpose of this paper is to give a new definition of the extension of q-Euler numbers and polynomials by using a p-adic fermionic q-integarl in the p-adic number field.

참고문헌 (12)

  1. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  2. M. Cenkci, "p-adic interpolation function and Kummer-type congruences for q-twisted Euler numbers", Adv. Stud. Contemp. Math., 9, pp.203~216 (2004)
  3. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
  4. T. Kim, "Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp", Russ. J. Math. Phys., 14, pp.160~163 (2007)
  5. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys., 16(1), pp.51~54 (2009)
  6. T. Kim, "q-extension of the Euler formula and trigonometric functions", Russ. J. Math. Phys., 14(3), pp.275~278 (2007)
  7. T. Kim, "q-generalized Euler numbers and polynomials", Russ. J. Math. Phys., 13(3), pp.293~298 (2006)
  8. S.-H. Rim, "A note on p-adic Euler measure on Zp", Russ. J. Math. Phys., 13, pp.358~361 (2006)
  10. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  11. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회
  12. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회

관련 논문AI추천

A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호On the q-extension of higher-order Euler polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호On the modified q-Euler numbers of higher order with weightJ. H. Jeong, S. H. Rim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 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 제2호New q-Euler numbers and polynomials associated with p-adic q-integralsL. Jang, M. S. Kim, S. H. Rim, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호

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