Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE SHAPE OF MAXIMUM CURVE OF eaz2+bz+c

  • KIM, MIHWA (Department of Mathematics, Soongsil University) ;
  • KIM, JEONG-HEON (Department of Mathematics, Soongsil University)
  • Received : 2016.08.08
  • Accepted : 2016.11.03
  • Published : 2017.01.30
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Abstract

In this paper, we investigate the proper shape and location of the maximum curve of transcendental entire functions $e^{az^2+bz+c}$. We show that the alpha curve of $e^{az^2+bz+c}$ is a subset of a rectangular hyperbola, and the maximum curve is the connected set originating from the origin as a subset of the alpha curve.

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References

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