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On distribution of zeros of polynomials approximating exponential type entire functions

Kotani, S (Osaka)
Monday 18 August 2008, 11:30-12:30

Seminar Room 1, Newton Institute


We discuss the limiting behavior of the distribution of zeros of a certain class of polynomials when their degrees increase to infinity. A special case is polynomials which are obtained as a Maclaulin expansion of the exponential function and in this case,after a suitable normalization, the set of zeros converges to a smooth curve with a singulality at 1. Several generalizations will be presented.


[pdf ]




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