Geometry of the locus of polynomials of degree 4 with iterative roots
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
Growth of solutions to higher order linear homogeneous differential equations in angular domains.
Hermite interpolation and an inequality for entire functions of exponential type.
Holomorphic extension of a function whose odd derivatives are summable
Holomorphic Functions with Mean p-valent Derivatives.
Independence of time and position for a random walk.
Inequalities for zeros of entire functions.
Irrationality results for theta functions by Gel'fond-Schneider's method
Julia lines of general random Dirichlet series
In this paper, we consider a random entire function defined by a random Dirichlet series where are independent and complex valued variables, . We prove that under natural conditions, for some random entire functions of order zero almost surely every horizontal line is a Julia line without an exceptional value. The result improve a theorem of J. R. Yu: Julia lines of random Dirichlet series. Bull. Sci. Math. 128 (2004), 341–353, by relaxing condition on the distribution of for such function...
Mémoire sur les fonctions analytiques uniformes. Traduit par E. Picard
Meromorphic functions and also their first two derivatives have the same zeros.
On entire functions of slow growth represented by Dirichlet series
On Entire Functions with Infinite Domains of Normality.
On generators in ideals of entire functions of finite order and type on the plane.
On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus.
On Prime Periodic Entire Functions.
On random entire functions
On Sets of Range Uniqueness.
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...
On Some Spaces Of Analytic Functions And Their Duality Relations.