• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1397-1404
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• 2009

It is the aim of this paper to consider the reflection symmetries of the Genocchi polynomials $G^*_n(x)$. We display the shape of Genocchi polynomials $G^*_n(x)$. Finally, we investigate the roots of the Genocchi poly-nomials $G^*_n(x)$.

• 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 $G^*_{n,q}(x)$.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.125-132
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• 2006

It is the aim of this paper to introduce the Genocchi numbers Gn and polynomials Gn(x) and to display the shape of Genocchi polynomials Gn(x). Finally, we investigate the roots of the Genocchi polynomials Gn(x).

• Journal of applied mathematics & informatics
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• v.27 no.3_4
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• pp.453-462
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• 2009

Kim [4] defined the generalized Genocchi numbers $G_{n,x}$. In this paper, we introduce the generalized Genocchi polynomials $G_{n,x}(x)$. One purpose of this paper is to investigate the zeros of the generalized Genocchi polynomials $G_{n,x}(x)$. We also display the shape of generalized Genocchi polynomials $G_{n,x}(x)$.