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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024 Volume 11, Issue 3, Pages 526–536 (Mi vspua314)

MATHEMATICS

On the zero bounds of quaternionic polynomials with restricted coefficients

A. Hussaina, I. A. Wanib

a University of Kashmir, Srinagar, 190006, India
b School of Chemical and Physical Science, Lovely Professional University, Punjab, 144411, India

Abstract: The primary objective of this paper is to explore extensions of the classical Enestorm-Kakeya theorem and its diverse generalizations regarding the distribution of polynomial zeros, transitioning from the complex domain to the quaternionic context.

Keywords: quaternionic polynomial, Zeros, Enestrom-Kakeya theorem.

UDC: 517.535

MSC: 30E10, 30G35, 16K20, SDG4

Received: 07.08.2023
Revised: 18.11.2023
Accepted: 22.02.2024

DOI: 10.21638/spbu01.2024.309



© Steklov Math. Inst. of RAS, 2024