A note on the structure of the zeros of a polynomial and Sendov's conjecture

G. M. Sofi; W. M. Shah

doi:10.56754/0719-0646.2503.515

DOI:

https://doi.org/10.56754/0719-0646.2503.515

Abstract

In this note we prove a result that highlights an interesting connection between the structure of the zeros of a polynomial \(p(z)\) and Sendov's conjecture.

Keywords

Polynomials , zeros , critical points

Mathematics Subject Classification:

30A10 , 30C15

G. M. Sofi Department of Mathematics, Central University of Kashmir, 191201, India. https://orcid.org/0000-0003-3840-3158
W. M. Shah Department of Mathematics, Central University of Kashmir, 191201, India. https://orcid.org/0009-0007-2565-9054

Pages: 515–521
Date Published: 2023-12-31
Vol. 25 No. 3 (2023)

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