Generalization of the Grace Theorem

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Authors

  • N. A. Rather
     University of Kashmir, Hazratbal Srinagar, 190006 ,IN
  • Mohammad Ibrahim
     Department of Mathematics, University of Kashmir, Hazratbal Srinagar, 190006 ,IN

DOI:

https://doi.org/10.18311/jims/2017/6117

Keywords:

Polynomial, Zeros, Grace Theorem, Apolar Polynomials

Abstract

In this paper we extend the theorem of Walsh and some results proved by R. Bakic to a half plane and complement of an open disk.

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Published

2017-07-01

How to Cite

Rather, N. A., & Ibrahim, M. (2017). Generalization of the Grace Theorem. The Journal of the Indian Mathematical Society, 84(3-4), 269–272. https://doi.org/10.18311/jims/2017/6117

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 N. A. Rather, Mohammad Ibrahim

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2016-06-10
Accepted 2017-02-15
Published 2017-07-01

 

References

R. Bakic; Generalization of the Grace-Heawood Theorem; Publications de l Institut Mathematique Nouvelle serie, tome 93 (107)(2013), 65-67.

J. H. Grace; The zeros of a Polynomial; Proceedings of the Cambridge Philosophical Society, (11), (1902), 352-7.

Q.I. Rahman and G. Schmeisser; Analytic Theory of Polynomials; Oxford University Press, (2002), pp 108.

J.L. Walsh; On the Location of the Roots of Certain Types of Polynomials; Trans. Amer. Math. Soc. 24 (1922), 163-180.