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- W2964150507 abstract "Motivated by the study of the asymptotic behavior of Jacobi polynomials $$left( P_{n}^{(nA,nB)}right) _{n}$$ with $$Ain mathbb {C}$$ and $$B>0$$ , we establish the global structure of trajectories of the related rational quadratic differential on $$mathbb {C}$$ . As a consequence, the asymptotic zero distribution $$left( text {limit of the root-counting measures of} left( P_{n}^{(nA,nB)}right) _{n}right) $$ is described. The support of this measure is formed by an open arc in the complex plane (critical trajectory of the aforementioned quadratic differential) that can be characterized by the symmetry property of its equilibrium measure in a certain external field." @default.
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- W2964150507 date "2015-12-08" @default.
- W2964150507 modified "2023-09-23" @default.
- W2964150507 title "Trajectories of Quadratic Differentials for Jacobi Polynomials with Complex Parameters" @default.
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- W2964150507 doi "https://doi.org/10.1007/s40315-015-0146-7" @default.
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