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Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials

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We give some new and interesting identities and formulae involving Bernoulli and Euler polynomials arising from Chebyshev polynomials.

Abstract

We give some new and interesting identities and formulae involving Bernoulli and Euler polynomials arising from Chebyshev polynomials.

참고문헌 (16)

  1. J. Choi, "A note on the extended q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(4), pp.351~354 (2011), 장전수학회
  2. 최종성, "On the (w,q)-Euler numbers and polynomials with weight α", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(1), pp.91~100 (2012), 장전수학회
  3. Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
  4. B. G. S. Doman, "Generating functions for Chebyshev polynomials", Int. J. Pure Appl. Math, 63(2), pp.197~205 (2010)
  5. L. Fox, "Chebyshev polynomials in numerical analysis" (1968), Oxford University Press
  6. N. Guillotin-Plantard, "On the local time of random walks associated with Gegenbauer polynomi- als", J. Theoret. Probab, 24(4), pp.1157~1169 (2011)
  7. D. S. Kim, "Identities of symmetry for higher-order Euler polynomials in three variables (I)", Advanced Studies in Contemporary Mathematics, 22(1), pp.51~74 (2012), 장전수학회
  8. T. Kim, "Identities involving Frobenius-Euler polynomials arising from non-linear di®erential equations", J. Number Theory (2012), Article in Press
  9. 김영희, "Symmetry of power sum and twisted Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 18(2), pp.127~133 (2009), 장전수학회
  10. CRC, "Chebyshev Polynomials, Chapman & Hall", pp.2003, J. C. Mason
  11. S. G. Moreno, "Chebyshev polynomials and nested square roots", J. Math. Anal. Appl, 394(1), pp.61~73 (2012)
  12. Orbit functions of SU(n) and Chebyshev polyno- mials, Group analysis of di®erential equations and integrable systems, "M. Nesterenko", Department of Mathematics and Statistics, University of Cyprus, 133~151 (2011)
  13. S. H. Rim, "On the modified q-Euler numbers of higher order with weight", Advanced Studies in Contemporary Mathematics, 22(1), pp.93~98 (2012), 장전수학회
  14. T. J. Rivlin, "Chebyshev polynomials. From approximation theory to algebra and number theory, Second edition. Pure and Applied Mathematics (New York)" (1990), John Wiley &Sons, Inc
  15. C. S. Ryoo, "Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials", Proc. Jangjeon Math. Soc, 14(2), pp.239~248 (2011)
  16. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회

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