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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

An upper bound on right half plane zeros


Author: Dov Hazony
Journal: Quart. Appl. Math. 19 (1961), 146-149
MSC: Primary 30.65
DOI: https://doi.org/10.1090/qam/124506
MathSciNet review: 124506
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Abstract | References | Similar Articles | Additional Information

Abstract: An upper bound is placed on the number of right half plane zeros of functions of the type $Z - m/n$. $Z$ and $m/n$ are RLC and LC driving point impedance functions respectively. In addition, it is shown that if $\operatorname {Re} Z > 0$ on $j$ axis, the number of right half plane zeros is determined precisely.


References [Enhancements On Off] (What's this?)

  • Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. MR 0031114
  • D. Hazony, Zero cancellation synthesis using impedance operators, to be published in an early issue of the IRE PGCT Transactions on Circuit Theory

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Article copyright: © Copyright 1961 American Mathematical Society