• Title/Summary/Keyword: Reflection symmetries of the q-Genocchi polynomials

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REFLECTION SYMMETRIES OF THE q-GENOCCHI POLYNOMIALS

  • Ryoo, Cheon-Seoung
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1277-1284
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    • 2010
  • One purpose of this paper is to consider the reflection symmetries of the q-Genocchi polynomials $G^*_{n,q}(x)$. We also observe the structure of the roots of q-Genocchi polynomials, $G^*_{n,q}(x)$, using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the real roots of $G^*_{n,q}(x)$.