논문KCI 등재
Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials
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In this paper, we obtain several symmetric identities on the generalized Apostol-Euler polynomials via generating function method. We also get some identities which contains some identities related to Apostol-Euler and Apostol-Bernoulli polynomials.
Abstract
In this paper, we obtain several symmetric identities on the generalized Apostol-Euler polynomials via generating function method. We also get some identities which contains some identities related to Apostol-Euler and Apostol-Bernoulli polynomials.
참고문헌 (22)
- B.-N. Guo, "Generalization of Bernoulli polynomials", Internat. J. Math. Ed. Sci. Tech., 33(3), pp.428~431 (2002)
- T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 2, pp.320~329 (1999)
- F. T. Howard, "Explicit formulas for degenerate Bernoulli numbers", Discrete Math, 162(1), pp.175~185 (1996)
- T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Eiler polynomials", J.Difference Equ. Appl., 14(12), pp.105~112 (2009)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 3, pp.288~299 (2002)
- 김태균, "New approach to q-Euler, Genocchi numbers and their interpolation functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.105~112 (2009), 장전수학회
- T. Kim, "Some identities of the frobenius-Euler polynomials", Abstract and Applied Analysis
- 김태균, "ON THE q-EXTENSIONS OF THE BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND LERCH ZETA FUNCTION", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(1), pp.77~92 (2009), 장전수학회
- T. Kim, "On the identities of symmetry for the generalized Bernoulli polynomials attached to of higher order", Journal of Inequalities and Applications
- T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p -adic invariant integral on Zp", Russ. J. Math. Phys., 16, pp.93~96 (2009)
- T. Kim, "On the identities of symmetry for the ζ-Euler polynomials of higher order", Adv. Difference Equ.
- 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
- Q.-M. Luo, "On the Apostol-Bernoulli polynomials", Cent. Eur. J. Math., 2(4), pp.509~515 (2004)
- Q.-M. Luo, "Apostol-Euler polynomials of higher order and the Gaussian hypergeometric function", Taiwanese J. Math., 10(4), pp.917~925 (2006)
- H. M. Liu, "Some identities on the Bernoulli,Euler and Genocchi polynomials via power sums snd alternate power sums", Discrete Math., 309, pp.3346~3363 (2009)
- Q.-M. Luo, "Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials", J. Math. Anal. Appl., 308, pp.290~302 (2005)
- Park, Kyoung-Ho, "On Interpolation Functions of the Generalized Twisted (h,q)-Euler Polynomials", Journal of Inequalities and Applications
- H. M. Srivastava, "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers
- 김태균, "Symmetry identities for the twisted generalized Euler polynomials", Advanced Studies in Contemporary Mathematics, 19(2), pp.151~155 (2009), 장전수학회
- W. P. Wang, "Some results on the Apostol-Bernoulli and Apostol-Euler polynomials", Comput. Math. Appl., 55, pp.1322~1332 (2008)
- S. L. Yang, "An identity of symmetry for the Bernoulli polynomials", Discerte Math., 308(4), pp.550~554 (2008)
- Z. Z. Zhang, "Several identities for the generalized Apostol-Bernoulli polynomials", Comput. Math. Appl., 56, pp.2993~2999 (2008)
관련 논문AI추천
Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASISErdogan Sen장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호Some identities of Bernoulli and Euler polynomials arising form umbral calculus김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Some Properties of the Generalized Apostol Type Hermite- Based PolynomialsWaseem Ahmad Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Some identities of Frobenius-Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호
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