Two subclasses A(alpha, beta) and R(p) of certain analytic functions in the open unit disk U are introduced. For these classes a majorization problem and a quasi-subordination problem of analytic functions in U are discussed.

Making use of certain operators of fractional calculus, we introduce a new class F-delta(n,lambda,alpha) of functions which are analytic in the open unit disk mu and obtain a necessary and sufficient condition for a function ...

In this paper the authors lay the foundation for a theory of dicovers of ditopological texture spaces and use this to define notions of paracompactness and full normality. Some applications to fuzzy topology are also ...

In this paper it is shown that the lattice of intuitionistic subsets of a set X in the sense of D. Coker may be represented as a special type of texture space, called an intuitionistic texture on X, and various characterizations ...

We prove that a ring R is serial if and only if every finitely presented right and left R-module is circle plus-supplemented, and that R is artinian serial if and only if every right and left R-module is circle plus-supplemented. ...

By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the (n, delta)-neighborhoods of various subclasses of starlike and convex functions ...