The main purpose of this paper is to extend various results of Eneström-Kakeya type from the complex to quaternionic setting by virtue of a maximum modulus theorem and the structure of the zero sets ...

If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often ...

A well-known theorem of Bernstein states that if a polynomial of degree $n$ of a complex variable has its modulus no larger than one on the unit disk then the modulus ...

IN elementary algebra the well-known remainder theorem enables us to determine a polynomial, except for a numerical factor, when all the zeroes are given. If we replace the polynomial by an integral ...