On the zeros of a Lacunary type of Quaternionic Polynomial with restricted coefficients

In this paper, we are concerned with the problem of locating the zeros of lacunary polynomials of a quaternionic variable with restricted real and quaternionic coefficients. We derive bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial. AMS 2010 Subject Classification: 30E10, 30G35, 16K20.