Weighted algebras of entire functions in which each closed ideal admits two algebraic generators.

Each Non - Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse

Growth analysis of entire functions of two complex variables

In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

Permutable Entire Functions Satisfying Algebraic Differential Equations

We show that if f and g are transcendental entire functions such that f(g) = g(f), then f satisfies an algebraic differential equation if and only if g does.

Algebraic Functions and Closed Braids

LET f (z,w) ≡ f0(z)w + f1(z)w + · · · + fn(z) ∈ C[z,w]. Classically, the equation f (z,w) = 0 was said to define w as an (n-valued) algebraic function of z, provided that f0(z) was not identically 0 and that f (z,w) was squarefree and without factors of the form z− c. Then, indeed, the singular set B = {z: there are not n distinct solutions w to f (z,w) = 0} is finite; and as z varies in any si...

On the Ideal Structure of the Ring of Entire Functions

On the ideal structure of the ring of entire functions.