On self-reciprocal functions in two variables

On Properties of Self Reciprocal Functions

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.

Associative rational functions in two variables⋆

A rational function R(x, y) over a field is said to be associative if R(R(x, y), z) = R(x,R(y, z)). Associative rational functions over a field define group laws on subsets of the field (plus the point at infinity). In this paper, all the associative rational functions of two variables over an arbitrary field are determined and consequently all the groups obtainable from such functions are dete...

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

Extending Piecewise Polynomial Functions in Two Variables

We study the extensibility of piecewise polynomial functions defined on closed subsets of R2 to all of R2. The compact subsets of R2 on which every piecewise polynomial function is extensible to R2 can be characterized in terms of local quasi-convexity if they are definable in an o-minimal expansion of R. Even the noncompact closed definable subsets can be characterized if semialgebraic functio...