Abstract We prove some important properties of the extremal coefficients a stable tail dependence function (“STDF”) and characterise logistic related STDFs. The well known sufficient conditions for composebility STDFs are shown to be also necessary.

We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this polytope. We can subsequently obtain various relations, such as transformations and three-term relations, of these functions by considering geometr...

While industry IT project managers are scrambling for large numbers of IS graduates / professionals with significant COBOL skills to support billions of lines of legacy applications, academic programs are migrating away from COBOL as an integral part of their IS curricula. In some cases, IS programs have eliminated COBOL altogether. The trend toward reducing or eliminating a sequence of COBOL c...

Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.

By making use of basic hypergeometric functions, a class of complex harmonic meromorphic functions with positive coefficients is introduced. We obtain some properties such as coefficient inequality, growth theorems, and extreme points.

This paper deals with the basic notions of k-tautimmersions . These notions come from two special cases; that is, tight and taut immersions. Tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. We generalize hight and distance functions to cylindrical function and define basic notions of k-taut ...

The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$theta$-open functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topolo...