Browsing by Author "Vargas, Antonio"

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  • Scaling Limits for Partial Sums of Power Series 

    Vargas, Antonio (2016-08-11)
    In this thesis it will be shown that the partial sums of the Maclaurin series for a certain class of entire functions possess scaling limits in various directions in the complex plane. In doing so we obtain information ...

  • Zeros of Sections of Some Power Series 

    Vargas, Antonio (2012-08-28)
    For a power series which converges in some neighborhood of the origin in the complex plane, the zeros of its partial sums often behave in a controlled manner. We give an overview of some of the major results in the study ...