A note on Eneström-Kakeya theorem for a polynomial with quaternionic variable

DOI10.1007/S40065-020-00283-0zbMath1452.30027OpenAlexW3025648209MaRDI QIDQ2211918

Dinesh Tripathi

Publication date: 17 November 2020

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-020-00283-0

zbMATH Keywords

location of zerospolynomials of a quaternionic variable

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (11)

A note on a generalisation of Eneström-Kakeya theorem for quaternionic polynomials ⋮ On the zeros of a quaternionic polynomial with restricted coefficients ⋮ Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients ⋮ A Note on Location of the Zeros of Quaternionic Polynomials ⋮ On the zero bounds of polynomials and regular functions of a quaternionic variable ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Eneström-Kakeya theorem for quaternionic polynomials ⋮ On zeros of the regular power series of a quaternionic variable ⋮ On the Eneström-Kakeya theorem for quaternionic polynomials

Cites Work

• Unnamed Item
• Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form.
• Zeros of regular functions and polynomials of a quaternionic variable
• The Eneström-Kakeya theorem for polynomials of a quaternionic variable
• A new theory of regular functions of a quaternionic variable
• On the Location of Zeros of Polynomials
• On the Eneström-Kakeya theorem

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