Journal of Applied and Pure Mathematics

  • 제5권5_6호
  • /
  • Pages.291-301
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  • 2023
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  • 2671-4000(pISSN)
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  • 2636-1612(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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NUMERICAL COMPUTATION OF THE ZEROS OF THE FULLY MODIFIED q-POLY-TANGENT POLYNOMIALS OF THE FIRST TYPE

  • 투고 : 2023.03.15
  • 심사 : 2023.11.09
  • 발행 : 2023.11.30
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초록

In this paper, we investigate the zeros of the fully modified q-poly-tangent polynomials of the first type.

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참고문헌

  1. G.E. Andrews, R. Askey, R. Roy, Special Functions, Vol. 71, Combridge Press, Cambridge, UK, 1999. 
  2. N.S. Jung, C.S. Ryoo, Identities involving q-analogue of modified tangent polynomials, J. App. Math. & Informatics 39 (2021), 643-654. 
  3. M. Kaneko, Poly-Bernoulli numbers, J. Th'eor. Nombres Bordeaux 9 (1997), 199-206. 
  4. T. Komatsu, J.L. Ram'irez, V.F. Sirvent, A (p, q)-Analog of Poly-Euler Polynomials and Some Related Polynomials, Ukrainian Mathematical Journal 72 (2020), 536-554.  https://doi.org/10.1007/s11253-020-01799-6
  5. T. Mansour, Identities for sums of a q-analogue of polylogarithm functions, Lett. Math. Phys. 87 (2009), 1-18.  https://doi.org/10.1007/s11005-008-0290-3
  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, 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
  8. C.S. Ryoo, On (p, q)-Cauchy polynomials and their zeros, Global Journal of Pure and Applied Mathematics 12 (2016), 4623-4636. 
  9. C.S. Ryoo, R.P. Agarwal, Some identities involving q-poly-tangent numbers and polynomials and distribution of their zeros, Advances in Difference Equations 2017:213 (2017), 1-14.  https://doi.org/10.1186/s13662-017-1275-2
  10. P.N. Sadjang, On the fundamental theorem of (p, q)-calculus and some (p, q)-Taylor formulas, arXiv:1309.3934[math.QA]. 
  11. H. Shin, J. Zeng, The q-tangent and q-secant numbers via continued fractions, European J. Combin. 31(6) (2010), 1689-1705. https://doi.org/10.1016/j.ejc.2010.04.003