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On the Zeros of Power Series with Logarithmic Coefficients

Published online by Cambridge University Press:  20 November 2018

U. Stadtmüller
U. Stadtmüller*
Affiliation:
Abteilung Für Mathematik I Universität, ULM 7900 ULM West, Germany
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Equivalence problems in Riesz-summability lead to the problem of finding the zeros of special power series in the unit circle, i.e.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 2 , 01 June 1979 , pp. 221 - 233
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Borwein, D. and Kratz, W., On the zeros of the power series with an application to discontinuous Riesz-summability. Canadian Math. Bull., Vol. 19 (4), (1976),417-424.Google Scholar
2. Hardy, G. H., Divergent series. Clarendon Press, Oxford 1948.Google Scholar
3. Jurkat, W. B. and Peyerimhoff, A., On power series with negative zeros. Tôhoku Math. J. II, Vol. 24 (1972),207-221.Google Scholar
4. Gawronski, W. and Peyerimhoff, A., On the zeros of power series with rational coefficients. Archiv fur Mathematik, Vol. 29, Fasc. 2 (1977),173-186.Google Scholar
5. Peyerimhoff, A., On the zeros of power series. Mich. Math. J. 13 (1966),193-214.Google Scholar
6. Peyerimhoff, A., Lectures on summability. Lecture Notes in Math. 107, Springer Verlag 1968.Google Scholar
7. Polyâ-Szegô, , Aufgaben aund Lehrsàtze aus der Analysis. Springer Verlag, HT Bd. 74, 1971.Google Scholar
8. Wirsing, E., On the monotonicity of the zeros of two power series. Mich. Math. J. 13 (1966),215-218.Google Scholar