Add to ORKGWe study zeros on the unit circle of the solutions of a class of functional equations. For example we prove that if w(z) is a function analytic in the unit disc {z | |z | < 1} such that w(0) = 0 and |w′(z)|+ |w(z) | = 1, |z | = 1, then w(z) 6 = 0 if |z | = 1
Abstract. These highly informal lecture notes aim at introducing and ex-plaining several closely rel...
Let u be a solution of the differential equation u§›Rufl 0, where R is rational. Newton’s method of ...
AbstractGiven the location of the zeros and poles of a rational function, we find a region that must...
We consider the zeros of transcendental entire solutions f of the functional equation m∑ j=0 aj(z)f(...
We shall prove (a slightly more general version of) the following theorem: Let Φ be analytic in the ...
Abstract Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\m...
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
Abstract. We study the zero sequences of the non-trivial solutions of (∗) f ′ ′ +A(z)f = 0, where A(...
Consider the differential equation $(\*)$ $w\sp{\prime\prime}$ + $Aw$ = 0 where $A$ is of the form $...
This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function prov...
The theme of this work is the study of several interconnected aspects of zeros of solutions of certa...
We construct the classes of functions analytic in the unit disk, other than lacunary, and possessing...
Besides a well known example of Davenport and Heilbronn, there exist other Dirichlet series satisfyi...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46291/1/209_2005_Article_BF01162379.pd
Abstract. These highly informal lecture notes aim at introducing and ex-plaining several closely rel...
Let u be a solution of the differential equation u§›Rufl 0, where R is rational. Newton’s method of ...
AbstractGiven the location of the zeros and poles of a rational function, we find a region that must...
We consider the zeros of transcendental entire solutions f of the functional equation m∑ j=0 aj(z)f(...
We shall prove (a slightly more general version of) the following theorem: Let Φ be analytic in the ...
Abstract Let f be an analytic function in the unit disc | z | < 1 $|z|<1$ on the complex plane C $\m...
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
Abstract. We study the zero sequences of the non-trivial solutions of (∗) f ′ ′ +A(z)f = 0, where A(...
Consider the differential equation $(\*)$ $w\sp{\prime\prime}$ + $Aw$ = 0 where $A$ is of the form $...
This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function prov...
The theme of this work is the study of several interconnected aspects of zeros of solutions of certa...
We construct the classes of functions analytic in the unit disk, other than lacunary, and possessing...
Besides a well known example of Davenport and Heilbronn, there exist other Dirichlet series satisfyi...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46291/1/209_2005_Article_BF01162379.pd
Abstract. These highly informal lecture notes aim at introducing and ex-plaining several closely rel...
Let u be a solution of the differential equation u§›Rufl 0, where R is rational. Newton’s method of ...
AbstractGiven the location of the zeros and poles of a rational function, we find a region that must...