Analytic functions and mathematical physics

Mathematical physics.

We dedicate this issue of Communications in Mathematical Physics to our dear friend and colleague Roland Dobrushin, who died of cancer on November 13, 1995, at the age of 65. Dobrushin was not only a great, classic scientist, but he was also a man of integrity, courage, and good humor. These qualities stood out at a time and place where they were extremely scarce commodities. His joy of life wa...

Mathematical Physics and Life

It is a fascinating subject to explore how well we can understand the processes of life on the basis of fundamental laws of physics. It is emphasised that viewing biological processes as manipulation of information extracts their essential features. This information processing can be analysed using well-known methods of computer science. The lowest level of biological information processing, in...

Quasi-analytic Vectors and Quasi-analytic Functions

A Subclass of Analytic Functions Associated with Hypergeometric Functions

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

Experimental Mathematics and Mathematical Physics

One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimension...