Adil Malik - Department of Mathematics, University of Kashmir, Srinagar-۱۹۰۰۰۶, India

The problem of determining the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients is addressed in this study. We derive new bounds of the Enestrom-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our findings generalise several newly proven conclusions concerning the distribution of zeros of a quaternionic polynomial.

Quaternionic Polynomial, Zeros, Enestrom-Kakeya Theorem