# On the zeros of some families of polynomials satisfying a three-term recurrence associated to Gribov operator

@article{Intissar2014OnTZ, title={On the zeros of some families of polynomials satisfying a three-term recurrence associated to Gribov operator}, author={Abdelkader Intissar}, journal={arXiv: Mathematical Physics}, year={2014} }

We consider families of tridiagonal- matrices with diagonal $\beta_{k} = \mu k$ and off-diagonal entries $\alpha_{k} = i\lambda k\sqrt{k+1}$; $1 \leq k \leq n$, $n \in \mathbb{N}$ and $i^{2} = -1$ where $\mu \in \mathbb{C}$ and $\lambda \in \mathbb{C}$.\\\quad In Gribov theory ([7], A reggeon diagram technique, Soviet Phys. JETP 26 (1968), no. 2, 414-423), the parmeters $\mu$ and $\lambda$ are reals and they are important in the reggeon field theory. In this theory $\mu$ is the intercept of…

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