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Mathematical Colloquium of the Bauman Moscow State Technical University
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Non-real zeroes of homogeneous differential polynomials and a generalization of the Laguerre and Newton inequalities M. Yu. Tyaglov |
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Abstract: Given a real polynomial $$ F_{\varkappa}[p](z)= p(z)p''(z)-\varkappa[p'(z)]^2, $$ where A counterexample to a conjecture by B. Shapiro on the number of real zeroes of the polynomial We also discuss other generalisations of the Hawaii conjecture and possible extensions of our result to entire functions. The talk is based on a joint work with Mohamed J. Atia. Zoom-conference identificator: 948 341 6153; Password: 2SXtEz Website: https://us02web.zoom.us/j/9483416153?pwd=NzJmdk5pZjdiMXdoMUFoakNzNFhLQT09 |