DOI QR코드

DOI QR Code

ON CARLITZ'S TYPE q-TANGENT NUMBERS AND POLYNOMIALS AND COMPUTATION OF THEIR ZEROS

  • Received : 2016.11.15
  • Accepted : 2017.07.23
  • Published : 2017.09.30

Abstract

In this paper we construct the Carlitz's type q-tangent numbers $T_{n,q}$ and polynomials $T_{n,q}(x)$. From these numbers and polynomials, we establish some interesting identities and relations.

Keywords

References

  1. T. Kim, q-Euler numbers and polynomials associated with p-adic q-integrals, J. Nonlinear Math. Phys. 14 (2007), 15-27. https://doi.org/10.2991/jnmp.2007.14.1.3
  2. 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
  3. 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
  4. C.S. Ryoo, A note on the tangent numbers and polynomials, Adv. Studies Theor. Phys. 7 (2013), 447-454 https://doi.org/10.12988/astp.2013.13042
  5. 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
  6. C.S. Ryoo, A Note on the Zeros of the q-Bernoulli Polynomials, J. Appl. Math. & Informatics 28 (2010), 805-811.
  7. C.S. Ryoo, Reflection Symmetries of the q-Genocchi Polynomials, J. Appl. Math. & Informatics 28 (2010), 1277-1284.
  8. C.S. Ryoo, On degenerate q-tangent polynomials of higher order, J. Appl. Math. & Informatics 35 (2017), 113-120. https://doi.org/10.14317/jami.2017.113
  9. H. Shin, J. Zeng, The q-tangent and q-secant numbers via continued fractions, European J. Combin. 31 (2010), 1689-1705 https://doi.org/10.1016/j.ejc.2010.04.003

Cited by

  1. Symmetric Identities for (P,Q)-Analogue of Tangent Zeta Function vol.10, pp.9, 2018, https://doi.org/10.3390/sym10090395