On the Analogue for maximally convergent polynomials of Jentzsch's theorem / J. L. Walsh, Harvard University

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100 1 ⊔ ‡aWalsh, J. L. ‡q(Joseph Leonard), ‡d1895-1973, ‡eauthor
245 1 7 ‡aOn the Analogue for maximally convergent polynomials of Jentzsch's theorem / J. L. Walsh, Harvard University.
264 ⊔ 1 ‡aWashington, D.C. : ‡bUnited States Air Force, Office of Scientific Research, ‡c1958.
300 ⊔ ⊔ ‡a22 leaves ; ‡c28 cm.
336 ⊔ ⊔ ‡atext ‡btxt ‡2rdacontent
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338 ⊔ ⊔ ‡avolume ‡bnc ‡2rdacarrier
490 0 ⊔ ‡aAir Force Office of Scientific Research Technical Note No. ; ‡vAFOSR TN 58-1086.
500 ⊔ ⊔ ‡aDivision File Number: 1.38.
500 ⊔ ⊔ ‡aResearch supported with funding from the United States Air Force, Mathematics Division of the Office of Scientific Research, ARDC, under Contract No. AF 49(600)-1461, performed by Harvard University.
500 ⊔ ⊔ ‡a"AD No. 207 583."
500 ⊔ ⊔ ‡a"December 1958."
504 ⊔ ⊔ ‡aIncludes bibliographical references (leaves 97-98).
520 3 ⊔ ‡aAlthough 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.
538 ⊔ ⊔ ‡aMode of access: Internet.
650 ⊔ 0 ‡aPolynomials.
650 ⊔ 0 ‡aPartial sums (Series)
650 ⊔ 0 ‡aPower series.
710 1 ⊔ ‡aUnited States. ‡bAir Force. ‡bOffice of Scientific Research.
710 2 ⊔ ‡aHarvard University.
730 0 ⊔ ‡aTechnical Report Archive & Image Library (TRAIL)
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