Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON THE (p, q)-ANALOGUE OF EULER ZETA FUNCTION

  • 투고 : 2016.11.05
  • 심사 : 2017.03.20
  • 발행 : 2017.05.30
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초록

In this paper we define (p, q)-analogue of Euler zeta function. In order to define (p, q)-analogue of Euler zeta function, we introduce the (p, q)-analogue of Euler numbers and polynomials by generalizing the Euler numbers and polynomials, Carlitz's type q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Euler numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Euler polynomials by using computer.

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참고문헌

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피인용 문헌

  1. A NUMERICAL INVESTIGATION ON THE STRUCTURE OF THE ROOT OF THE (p, q)-ANALOGUE OF BERNOULLI POLYNOMIALS vol.35, pp.5, 2017, https://doi.org/10.14317/jami.2017.587
  2. A NOTE ON q-ANALOGUE OF POLY-BERNOULLI NUMBERS AND POLYNOMIALS vol.35, pp.5, 2017, https://doi.org/10.14317/jami.2017.611
  3. ON p-ADIC EULER L-FUNCTION OF TWO VARIABLES vol.36, pp.5, 2017, https://doi.org/10.14317/jami.2018.369
  4. SYMMETRIC IDENTITIES INVOLVING THE MODIFIED (p, q)-HURWITZ EULER ZETA FUNCTION vol.36, pp.5, 2017, https://doi.org/10.14317/jami.2018.555
  5. SOME IDENTITIES FOR (p, q)-HURWITZ ZETA FUNCTION vol.37, pp.1, 2019, https://doi.org/10.14317/jami.2019.097
  6. SYMMETRIC IDENTITIES FOR DEGENERATE CARLITZ-TYPE q-EULER NUMBERS AND POLYNOMIALS vol.37, pp.3, 2017, https://doi.org/10.14317/jami.2019.259
  7. Some Symmetric Identities for Degenerate Carlitz-type (p, q)-Euler Numbers and Polynomials vol.11, pp.6, 2017, https://doi.org/10.3390/sym11060830
  8. Symmetric Identities for Carlitz-Type Higher-Order Degenerate (p,q)-Euler Numbers and Polynomials vol.11, pp.12, 2019, https://doi.org/10.3390/sym11121432
  9. A NOTE ON q-ANALOGUE OF POLY-EULER POLYNOMIALS AND ARAKAWA-KANEKO TYPE ZETA FUNCTION vol.38, pp.5, 2020, https://doi.org/10.14317/jami.2020.611
  10. Symmetric Identities for Carlitz’s Type Higher-Order (p,q)-Genocchi Polynomials vol.12, pp.10, 2017, https://doi.org/10.3390/sym12101670