5 papers
On the problem of Kakeya
Rados Bakic
We discuss a form of a well-known problem of Kakeya for complex polynomials. Let p(z) be a complex polynomial. This problem requires to find disc that contains n zeros of some deri…
Note on the Coincidence theorem
Rados Bakic
We generalize Coincidence theorem due to Walsh for symmetric and linear polynomial in n complex variables, that is linear in each of them having total degre n. We discuss case when…
On location of zeros of the first derivative
Rados Bakic
Let p(z) be a complex polynomial of degree n. Let C be a circle containing its n-1 zeros, having its center in the centroid of these zeros. We prove that C must contain at least in…
On the representation of a polynmial as a sum of mononomials
Milos Arsenovic, Rados Bakic
We discuss various aspects of representation of a polynomial as a sum of monomials (for example, uniqueness of such representation and related estimations).
On inequality
Rados Bakic
It is known that inequality holds on the circle , where is a positive integer. We prove that in fact can be real number not less then 1. We…