In this paper, Appell’s matrix function of two complex variables is introduced, starting from the hypergeometric matrix function with the studies of the properties and an elementary generating functions for Jacobi matrix polynomials are obtained.

This paper aims at studying the convergence of some iteration processes for mixed variational inequalities with convex nondifferentiable functionals and J-potential, J-coercive, J-pseudomonotone or J-strongly inverse monotone operators in uniformly Smooth Banach spaces. Our results generalize corresponding theorems of [2],[4]and[6].

This paper aims at studying the convergence of some iteration processes for mixed variational inequalities with convex nondifferentiable functionals and J-potential, J-coercive, J-pseudomonotone or J-strongly inverse monotone operators in uniformly Smooth Banach spaces. Our results generalize corresponding theorems of [2],[4]and[6].

Water microbiological and physicochemical characterizations at various depths of aquatic ecosystems are basic requirements in several fields of research. A chief difficulty in hydrobiology, limnology, biological oceanography and water environmental microbiology is that of taking accurate field collections that are representative of the natural environment and population at various depths of aquatic ecosystems. Gathering water/plankton samples in a level just below the surface of the water body upon rising in columns from various depths due to hydrostatic pressure variations provided a simple approach for water and plankton sampling. Based on this approach, several forms of simple devices for water and plankton sampling were developed for water microbiological and physicochemical characterizations at various depths of aquatic ecosystems. The described approach showed less sampling errors in comparison to Van Dorn bottle and was comparable to water pumping but requires no external source of power. The described samplers are inexpensive and can be self constructed