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ON THE SHAPE OF MAXIMUM CURVE OF eaz2+bz+eON THE SHAPE OF MAXIMUM CURVE OF e^az2+bz+c

Other Titles
ON THE SHAPE OF MAXIMUM CURVE OF e^az2+bz+c
Authors
Kim, MihwaKim, Jeong-Heon
Issue Date
Jan-2017
Publisher
KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM
Keywords
beta curve; alpha curve; maximum curve of an entire function
Citation
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, v.35, no.1-2, pp.75 - 82
Journal Title
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS
Volume
35
Number
1-2
Start Page
75
End Page
82
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/6500
DOI
10.14317/jami.2017.075
ISSN
1598-5857
Abstract
In this paper, we investigate the proper shape and location of the maximum curve of transcendental entire functions e(az2 +bz+e). We show that the alpha curve of e(az2 +bz+e) 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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