Inequalities for entire functions of finite degree and for polynomials.
Inequalities for Polynomials with a Prescribed Zero.
Inequalities for the maximum modulus of the derivative of a polynomial.
Integral mean estimates for polynomials whose zeros are within a circle.
Integral mean estimates for polynomials whose zeros are within a circle.
Jensen's Inequality for Polynomials with Concentration at Low Degrees.
Lagrange schwarzian derivative and symplectic Sturm theory
Landau's theorem for p-harmonic mappings in several variables
A 2p-times continuously differentiable complex-valued function f = u + iv in a domain D ⊆ ℂ is p-harmonic if f satisfies the p-harmonic equation , where p (≥ 1) is a positive integer and Δ represents the complex Laplacian operator. If Ω ⊂ ℂⁿ is a domain, then a function is said to be p-harmonic in Ω if each component function (i∈ 1,...,m) of is p-harmonic with respect to each variable separately. In this paper, we prove Landau and Bloch’s theorem for a class of p-harmonic mappings f from...
Les suites de polynômes et la représentation conforme
Letter to the Editor. Remarks on Some Inequalities for Polynomials
MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in this paper to prove other results, which should not continue.
Location of the critical points of certain polynomials
Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.
Majoration de la norme des facteurs d'un polynôme
Norms of certain rational functions of a matrix and Schur's criterion for polynomials
Norms of factors of polynomials
Note on Bernstein's inequality for the third derivative of a polynomial.
On a certain functional equation in the algebra of polynomials with complex coefficients.
On a Conjecture of Sendov about the Critical Points of a Polynomial.
On a geometric property of Lemniscates.
On a geometric property of Lemniscates. (Short Communication).
On a polynomial inequality of P. Erdős and T. Grünwald.