Newton’s method on the complex exponential function

Haruta, Mako

doi:10.1090/S0002-9947-99-01927-3

Newton’s method on the complex exponential function
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by Mako E. Haruta PDF

Trans. Amer. Math. Soc. 351 (1999), 2499-2513 Request permission

Abstract:

We show that when Newton’s method is applied to the product of a polynomial and the exponential function in the complex plane, the basins of attraction of roots have finite area.

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