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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/1077775751 Title: On the Analogue for maximally convergent polynomials of Jentzsch's theorem Author: J L Walsh; Harvard University; United States. Air Force. Office of Scientific Research Publisher: Washington, D.C. : United States Air Force, Office of Scientific Research, 1958. OCLC:1077775751

  
  

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On the Analogue for maximally convergent polynomials of Jentzsch's theorem

Author:	J L Walsh; Harvard University.; United States. Air Force. Office of Scientific Research.
Publisher:	Washington, D.C. : United States Air Force, Office of Scientific Research, 1958.
Series:	United States. Air Force Office of Scientific Research Technical Note No., AFOSR TN 58-1086.
Edition/Format:	Print book : National government publication : EnglishView all editions and formats
Summary:	Although sequences of rational and analytic functions of the complex variable have been studied in some detail [2,3] regarding geometric degree of convergence, and convergent sequences of analytic functions have been basically studied [4] with reference to their zeros, no adequate applications to maximally convergent sequence of polynomials as such have been made. In particular there has been no special study of the analogue of Jentzsch's theorem, that every point of the circle of convergence of a Taylor development is a limit point of zeros of the partial sums. The object of the present paper is to investigate specifically the zeros of maximally convergent sequences of polynomials, including in detail some illuminating special expansions.  Read more...
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Subjects	Power series. Partial sums (Series) Polynomials.
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