Zobrazeno 1 - 3
of 3
pro vyhledávání: '"12D10 (Primary) 26C10, 30C15 (Secondary)"'
Autor:
Ndikubwayo, Innocent
Below we establish the conditions guaranteeing the reality of all the zeros of polynomials $P_n(z)$ in the polynomial sequence $\{P_n(z)\}_{n=1}^{\infty}$ satisfying a five-term recurrence relation $$P_{n}(z)= zP_{n-1}(z) + \alpha P_{n-2}(z)+\beta P_
Externí odkaz:
http://arxiv.org/abs/2011.13258
Autor:
Ndikubwayo, Innocent
We study the root distribution of a sequence of polynomials $\{P_n(z)\}_{n=0}^{\infty}$ with the rational generating function $$ \sum_{n=0}^{\infty} P_n(z)t^n= \frac{1}{1+ B(z)t^\ell +A(z)t^k}$$ for $(k,\ell)=(3,2)$ and $(4,3)$ where $A(z)$ and $B(z)
Externí odkaz:
http://arxiv.org/abs/1910.00278
Autor:
Ndikubwayo, Innocent
This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence $\{P_i\}_{i=1}^{\infty}$ generated by a three-term recurrence relation $P_i(x)+ Q_1(x)P_{i-1}(x) +Q_2(x) P_{i-2}(x)=0$ with the s
Externí odkaz:
http://arxiv.org/abs/1812.08601