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Asymptotic zero distribution of a class of hypergeometric polynomials
Asymptotic zero distribution Hypergeometric polynomials Jacobi polynomials
2011/9/2
Abstract: We prove that the zeros of ${}_2F_1(-n,\frac{n+1}{2};\frac{n+3}{2};z)$ asymptotically approach the section of the lemniscate $\{z: |z(1-z)^2|=4/27; \textrm{Re}(z)>1/3\}$ as $n\rightarrow \in...