Let X be a complex nonsingular affine algebraic variety, K compact holomorphically convex subset of X, and Y homogeneous manifold for some linear group. We prove that holomorphic map f:K?Y can uniformly approximated on by regular maps K?Y if only f is homotopic to K?Y. However, it may happen null does not admit uniform approximation X?Y. Here, ?:K?Y called (resp. regular) there exist an open Za...

In this paper, modified solutions were compared through utilizing three different approximate methods for bar structures. The modifications considered various changes in the initial design. To authors' best of knowledge, the studies have carried out on this matter so far are not broad enough and have considerred the simeltaneous variations of size, geometry and topology on the bar structures. I...

Multiple orthogonal polynomials are polynomials of one variable that satisfy orthogonality conditions with respect to several measures. They are a very useful extension of orthogonal polynomials and recently received renewed interest because tools have become available to investigate their asymptotic behavior. They appear in rational approximation, number theory, random matrices, integrable sys...