6 papers
A Jacobian Group Structure on a Hyperbolic Pencil of circles and its Applications
Faruk F. Abi-Khuzam
Using Jacobian Elliptic functions, we introduce a novel parametrization of a hyperbolic pencil of coaxal circles which reveals a remarkable group structure on the pencil. The geome…
Elementary discrete and continuous interplay
Faruk Abi-Khuzam
We illustrate the interplay between certain discrete and continuous problems, by presenting a method for the study of the asymptotics of a divergent sequence, through consideration…
Dimension Free Growth Results for Vector-Valued Functions of Several Complex Variables
Faruk F. Abi-Khuzam
Let f be an entire function of finite order less than 1. The maximum modulus M(r) of f and the counting function of the zeros N(r) are connected by a best possible growth inequalit…
Decay estimates connected with Toeplitzness of composition operators
Faruk F. Abi-Khuzam
In a higher dimensional version of an earlier conjecture of Nazarov and Shapiro, the truth of which would imply that any composition operator on the second Hardy space is weakly as…
Inequalities and Asymptotics for some Moment Integrals
Faruk Abi-Khuzam
For , we obtain two sided inequalities for the moment integral . These are then used to give the exact asymptotic behavior…
The star function for meromorphic functions of several complex variables
Faruk Abi-Khuzam, Florian Bertrand, Giuseppe Della Sala
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes so…