Research

Mathematical Sciences

Title :

On the zeros of a quaternionic polynomial

Area of research :

Mathematical Sciences

Principal Investigator :

Dr. Mohd. Abdullah Mir, Kashmir University, Jammu & Kashmir

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

The problems related to the distribution of zeros of quarternoinic polynomials with restricted coe?cients will be investigated. We derive new bounds of Enestrom-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of zero sets established in the newly developed theory of regular functions and polynomials of a quarternoinic variable. This study will allow us to extend some important results for polynomials from the complex to quarternoinic setting.

Total Budget (INR):

6,60,000

Organizations involved