Remarks on the Gauss-Lucas theorem in higher dimensional space
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- by A. W. Goodman PDF
- Proc. Amer. Math. Soc. 55 (1976), 97-102 Request permission
Abstract:
A recent paper by J. B. Diaz and Dorothy Browne Shaffer extends the Gauss-Lucas Theorem to $n$-dimensional Euclidean space. The authors leave open certain natural questions concerning the existence of “zeros of the derivative". This paper answers three such questions, and suggests several other questions for further investigation.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 97-102
- MSC: Primary 30A08; Secondary 26A78
- DOI: https://doi.org/10.1090/S0002-9939-1976-0435366-6
- MathSciNet review: 0435366