In the present paper, we obtain some interesting properties for mero-morphic analytic functions related to Cho-Kwon-Srivastava Operator defined by means of an operator recently given by Ghanim and Darus.

Episturmian morphisms constitute a powerful tool to study episturmian words. Indeed, any episturmian word can be infinitely decomposed over the set of pure episturmian morphisms. Thus, an episturmian word can be defined by one of its morphic decompositions or, equivalently, by a certain directive word. Here we characterize pairs of words directing a common episturmian word. We also propose a wa...

In this paper we solve some open problems related to (pseudo)palindrome closure operators and to the infinite words generated by their iteration, that is, standard episturmian and pseudostandard words. We show that if θ is an involutory antimorphism of A, then both θ-palindromic closures of any factor of a θ-standard word are also factors of some θ-standard word. We also introduce the class of ...

Different and distinct notions of regularity for modules exist in the literature. When these are restricted to commutative rings, they all coincide with well-known von-Neumann rings. We give new characterizations terms both (weakly-)morphic reduced modules. Furthermore, module theoretic settings established where general turn out be indistinguishable.

Circular D0L-systems are those with finite synchronizing delay. We introduce a tool called graph of overhangs which can be used to find the minimal value of synchronizing delay of a given D0L-system. By studying the graphs of overhangs, a general upper bound on the minimal value of a synchronizing delay of a circular D0L-system with a binary uniform morphism is given.

The aim of this paper is to prove that every polynomial function that maps the natural integers to the positive integers is the growth function of some D0L-system.