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Calculating zeros of the q-Euler polynomials

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In [1-6], we treated q-analogues of ordinary Euler polynomials which is called q-Euler polynomials En,q(x). One purpose of this paper is to consider the reflection symmetries of the q-Euler polynomials En,q(x). Using numerical investigation, some interesting results are obtained.

Abstract

In [1-6], we treated q-analogues of ordinary Euler polynomials which is called q-Euler polynomials En,q(x). One purpose of this paper is to consider the reflection symmetries of the q-Euler polynomials En,q(x). Using numerical investigation, some interesting results are obtained.

참고문헌 (6)

  1. T. Kim, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl., 326, pp.1458~1465 (2007)
  2. T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", J. Math. Anal. Appl., 339, pp.598~608 (2008)
  3. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
  4. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14, pp.15~27 (2007)
  5. C. S. Ryoo, "A numerical investigation of the roots of q-polynomials", Inter. J. Comput. Math., 83, pp.223~234 (2006)
  6. C. S. Ryoo, "Numerical computations of the zeros of the q-analogues of ordinary Euler ploynomials", Int. J. Appl. Math. Stat., 11, pp.140~148 (2007)

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