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 Mathematics , 2009, Abstract: We investigate the zeros of a family of hypergeometric polynomials $_2F_1(-n,-x;a;t)$, $n\in\nn$ that are known as the Meixner polynomials for certain values of the parameters $a$ and $t$. When $a=-N$, $N\in\nn$ and $t=\frac1{p}$, the polynomials $K_n(x;p,N)=(-N)_n\phantom{}_2F_1(-n,-x;-N;\frac1{p})$, $n=0,1,...N$, $0n-1$, the quasi-orthogonal polynomials $K_{n}(x;p,a)$, $k-11$ or $p<0$ as well as the non-orthogonal polynomials $K_{n}(x;p,N)$, $0  Mathematics , 2006, Abstract: Let$f$and$F$be two polynomials satisfying$F(x)=u(x)f(x)+v(x)f'(x)$. We characterize the relation between the location and multiplicity of the real zeros of$f$and$F$, which generalizes and unifies many known results, including the results of Brenti and Br\"and\'en about the$q$-Eulerian polynomials.  Physics , 2014, Abstract: We study the zeros of exceptional Hermite polynomials associated with an even partition$\lambda$. We prove several conjectures regarding the asymptotic behavior of both the regular (real) and the exceptional (complex) zeros. The real zeros are distributed as the zeros of usual Hermite polynomials and, after contracting by a factor$\sqrt{2n}$, we prove that they follow the semi-circle law. The non-real zeros tend to the zeros of the generalized Hermite polynomial$H_{\lambda}\$, provided that these zeros are simple. It was conjectured by Veselov that the zeros of generalized Hermite polynomials are always simple, except possibly for the zero at the origin, but this conjecture remains open.