DOI QR코드

DOI QR Code

SOME PROPERTIES OF POLY-COSINE TANGENT AND POLY-SINE TANGENT POLYNOMIALS

  • RYOO, C.S. (Department of Mathematics, Hannam University)
  • Received : 2021.04.10
  • Accepted : 2022.01.24
  • Published : 2022.01.30

Abstract

In this paper we give some prperties of the poly-cosine tangent polynomials and poly-sine tangent polynomials.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MEST) (No. 2017R1A2B4006092).

References

  1. G.E. Andrews, R. Askey, R. Roy, Special Functions, Vol. 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. Comtet, Advances Combinatorics, Riedel, Dordrecht, 1974.
  4. T. Kim, C.S. Ryoo, Some identities for Euler and Bernoulli polynomials and their zeros, Axioms 7 (2018), doi:10.3390/axioms7030056.
  5. C.S. Ryoo, A numerical investigation on the zeros of the tangent polynomials, J. App. Math. & Informatics 32 (2014), 315-322. https://doi.org/10.14317/JAMI.2014.315
  6. 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
  7. C.S. Ryoo, Modified degenerate tangent numbers and polynomials, Global Journal of Pure and Applied Mathematics 12 (2016), 1567-1574.
  8. C.S. Ryoo, On poly-tangent numbers and polynomials and distribution of their zeros, Global Journal of Pure and Applied Mathematics 12 (2016), 4511-4525.
  9. C.S. Ryoo, Symmetric identities for (p, q)-analogue of tangent zeta function, Symmetry 10 (2018), doi:10.3390/sym10090395.
  10. C.S. Ryoo, R.P. Agarwal, Some identities involving q-poly-tangent numbers and polynomials and distribution of their zeros, Advances in Difference Equations 213 (2017), doi:10.1186/s13662-017-1275-2.
  11. 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
  12. P.T. Young, Degenerate Bernoulli polynomials, generalized factorial sums, and their applications, Journal of Number Theory 128 (2008), 738-758 https://doi.org/10.1016/j.jnt.2007.02.007