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On Kaluza's sign criterion for reciprocal power series

Authors
  • Baricz, Árpád
  • Vesti, Jetro
  • Vuorinen, Matti
Type
Published Article
Publication Date
May 27, 2011
Submission Date
Oct 26, 2010
Identifiers
DOI: 10.2478/v10062-011-0009-2
Source
arXiv
License
Unknown
External links

Abstract

T. Kaluza has given a criterion for the signs of the power series of a function that is the reciprocal of another power series. In this note the sharpness of this condition is explored and various examples in terms of the Gaussian hypergeometric series are given. A criterion for the monotonicity of the quotient of two power series due to M. Biernacki and J. Krzy\.z is applied.

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