On a certain functional equation in the algebra of polynomials with complex coefficients.
On a class of higher order methods for simultaneous rootfinding of generalized polynomials.
On a conjecture of A. Schinzel and H. Zassenhaus
On a Conjecture of Sendov about the Critical Points of a Polynomial.
On a Global Descent Method for Polynomials.
On a polynomial inequality of P. Erdős and T. Grünwald.
On an extension of a result due to Pólya.
On convergence of Börsch-Supan's method with Weierstrass' corrections.
On discrepancy theorems with applications to approximation theory
We give an overview on discrepancy theorems based on bounds of the logarithmic potential of signed measures. The results generalize well-known results of P. Erdős and P. Turán on the distribution of zeros of polynomials. Besides of new estimates for the zeros of orthogonal polynomials, we give further applications to approximation theory concerning the distribution of Fekete points, extreme points and zeros of polynomials of best uniform approximation.
On finding the largest root of a polynomial
On generators in ideals of entire functions of finite order and type on the plane.
On H. Weyl and H. Minkowski polynomials.
On Ilieff's Conjecture.
On maximum modulus for the derivative of a polynomial
If P(z) is a polynomial of degree n, having all its zeros in the disk [...] then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that [...] In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type [...] Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.
On Ostrowski's fundamental existence theorem in the complex case.
On Polynomials and Exponential Polynomials in Several Complex Variables.
On realizability of sign patterns by real polynomials
The classical Descartes’ rule of signs limits the number of positive roots of a real polynomial in one variable by the number of sign changes in the sequence of its coefficients. One can ask the question which pairs of nonnegative integers , chosen in accordance with this rule and with some other natural conditions, can be the pairs of numbers of positive and negative roots of a real polynomial with prescribed signs of the coefficients. The paper solves this problem for degree polynomials.
On Rolle's theorem for polynomials over the complex numbers.
On searching for roots of a polynomial in a circular annulus
On Some of Professor Peter Rusev's Contributions
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...