Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON DEGENERATE q-TANGENT POLYNOMIALS OF HIGHER ORDER

  • RYOO, C.S. (Department of Mathematics, Hannam University)
  • 투고 : 2016.11.15
  • 심사 : 2016.12.23
  • 발행 : 2017.01.30
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초록

In this paper, we introduce degenerate tangent numbers ${\mathcal{T}}^{(k)}_{n,q}({\lambda})$ and tangent polynomials ${\mathcal{T}}^{(k)}_{n,q}(x,{\lambda})$ of higher order. Finally, we obtain interesting properties of these numbers and polynomials.

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참고문헌

  1. L. Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math. 15 (1979), 51-88.
  2. F. Qi, D.V. Dolgy, T. Kim, C.S. Ryoo, On the partially degenerate Bernoulli polynomials of the first kind, Global Journal of Pure and Applied Mathematics, 11 (2015), 2407-2412.
  3. T. Kim, Barnes' type multiple degenerate Bernoulli and Euler polynomials, Appl. Math. Comput. 258 (2015), 556-564.
  4. C.S. Ryoo, A numerical investigation on the structure of the roots of q-Genocchi polynomials, J. Appl. Math. Comput., 26 (2008), 325-332. https://doi.org/10.1007/s12190-007-0011-6
  5. C.S. Ryoo, Multiple q-tangent zeta function and q-tangent polynomials, Applied Mathematical Sciences, 8 (2014), 3755-3761. https://doi.org/10.12988/ams.2014.45329
  6. C.S. Ryoo, Notes on degenerate tangent polynomials, Global Journal of Pure and Applied Mathematics, 11 (2015), 3631-3637.
  7. C.S. Ryoo, A numerical investigation on the zeros of the tangent polynomials, J. Appl. Math. & Informatics, 32 (2014), 315-322. https://doi.org/10.14317/jami.2014.315
  8. C.S. Ryoo, Differential equations associated with tangent numbers, J. Appl. Math. & Informatics, 34 (2016), 487-494. https://doi.org/10.14317/jami.2016.487
  9. P.T. Young, Degenerate Bernoulli polynomials, generalized factorial sums, and their applications , Journal of Number Theorey, 128 (2008), 738-758. https://doi.org/10.1016/j.jnt.2007.02.007

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