Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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IDENTITIES OF SYMMETRY FOR GENERALIZED CARLITZ'S q-TANGENT POLYNOMIALS ASSOCIATED WITH p-ADIC INTEGRAL ON ℤp

  • Received : 2017.04.20
  • Accepted : 2018.01.03
  • Published : 2018.01.30
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Abstract

In this paper, we discover symmetric properties for generalized Carlitz's q-tangent polynomials.

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References

  1. G.E. Andrews, R. Askey, R. Roy, Special Functions, 71, Combridge Press, Cambridge, UK 1999.
  2. R. Ayoub, Euler and zeta function, Amer. Math. Monthly 81 (1974), 1067-1086. https://doi.org/10.1080/00029890.1974.11993738
  3. L. Carlitz, q-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948), 987-1000. https://doi.org/10.1215/S0012-7094-48-01588-9
  4. 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
  5. N. Koblitz, p-adic Number, p-adic Analysis, and Zeta-Functions, (2nd Edi), Springer-Verlag 14, 1984.
  6. C.S. Ryoo, On Carlitz's type q-tangent Numbers Associated with the Fermionic p-Adic Integral on $\mathbb{Z}_p$, JP Journal of Algebra, Number Theory and Applications 31 (2013), 91-99.
  7. 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
  8. 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
  9. 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
  10. 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
  11. C.S. Ryoo, A Note on the Zeros of the q-Bernoulli Polynomials, J. Appl. Math. & Informatics 28 (2010), 805-811.
  12. C.S. Ryoo, Reflection Symmetries of the q-Genocchi Polynomials, J. Appl. Math. & Informatics 28 (2010), 1277-1284.
  13. 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
  14. 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