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Some Results Concerning Sendov Conjecture
- Source :
- The Journal of the Indian Mathematical Society; Volume 90, Issue 1-2, January-June 2023; 159-164; 2455-6475; 0019-5839
- Publication Year :
- 2023
-
Abstract
- Let P(z) be a complex polynomial of degree n having all its zeros in |z| ≤ 1. Then the Sendov’s Conjecture states that there is always a critical point of P(z) in |z − a| ≤ 1, where a is any zero of P(z). In this paper, we verify the Sendov’s Conjecture for some special cases. The case where a is the root of pth smallest modulus is also investigated.
Details
- Database :
- OAIster
- Journal :
- The Journal of the Indian Mathematical Society; Volume 90, Issue 1-2, January-June 2023; 159-164; 2455-6475; 0019-5839
- Notes :
- application/pdf, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1381395677
- Document Type :
- Electronic Resource