Journal of applied mathematics & informatics

  • 제41권6호
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  • Pages.1365-1376
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON HIGHER-ORDER POLY-TANGENT POLYNOMIALS

  • C.S. RYOO (Department of Mathematics, Hannam University) ;
  • J.Y. KANG (Department of Mathematics Education, Silla University)
  • 투고 : 2023.06.14
  • 심사 : 2023.11.01
  • 발행 : 2023.11.30
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초록

In this paper, we construct higher-order poly-tangent polynomials and study several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order poly-tangent polynomials.

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참고문헌

  1. R. Ayoub, Euler and zeta function, Amer. Math. Monthly 81 (1974), 1067-1086. https://doi.org/10.1080/00029890.1974.11993738
  2. N.S. Jung, C.S. Ryoo, Identities involving q-analogue of modified tangent polynomials, J. Appl. Math. & Informatics 39 (2021), 643-654. https://doi.org/10.14317/jami.2021.643
  3. N.S. Jung, C.S. Ryoo, Numerical investigation of zeros of the fully q-poly-tangent numbers and polynomials of the second type, J. Appl. & Pure Math. 3 (2021), 137-150.
  4. Jung Yoog Kang, Some properties involving (p, q)-Hermite polynomials arising from differential equations, J. Appl. & Pure Math. 4 (2022), 221-231. https://doi.org/10.23091/japm.2022.221
  5. 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
  6. C.S. Ryoo, R.P. Agarwal, Some identities involving q-poly-tangent numbers and polynomials and distribution of their zeros, Advances in Difference Equations 2017 (2017), 2017:213. DOI 10.1186/s13662-017-1275-2
  7. C.S. Ryoo, Some properties of poly-cosine tangent and poly-sine tangent polynomials , Adv. Studies Theor. Phys. 8 (2014), 457-462. https://doi.org/10.12988/astp.2014.4442
  8. C.S. Ryoo, Multiple tangent zeta Function and tangent polynomials of higher order, J. Appl. Math. & Informatics 40 (2022), 371-391. https://doi.org/10.14317/jami.2022.371
  9. C.S. Ryoo, J.Y. Kang, Properties of q-differential equations of higher order and visualization of fractal using q-Bernoulli polynomials, Fractal Fract. 2022 (2022), 296. https://doi.org/10.3390/fractalfract6060296
  10. 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