Distribution of roots of whole functions. 2nd edition. Levin B.Ya.

One of the most important problems of the theory of whole functions is the problem of the relationship between the growth of the whole function and the distribution of its roots. Many tasks from various areas, adjacent to the theory of functions of a complex alternate, are reduced to this problem. Particularly accurate dependencies are obtained for a special class of functions that are naturally called the functions of quite regular growth.

In this book, the theory of functions of quite regular growth is systematically applied to the study of various issues of the theory of whole functions. Chapter II and III are devoted to the construction of the theory of functions of quite regular growth. Then, chapters IV, V and VI gives various applications of this theory to study the completeness and uniqueness, inter -polishing, distribution of the roots of exponential amounts, the properties of integral functions limited on the material axis, etc. The further chapters of the issues related to the transfer to the transfer to the transfer whole functions of some properties of polynomials. The book contains applications in which applications are given in related areas of the settled results and methods. At the end of the book, a list of the most important concepts and theorems is placed, using which the reader can quickly restore in memory not only the definition of the concept, but also the main facts related to it.

the book is recommended to scientists, teachers, graduate students and students of Phy -mate specialties of higher educational institutions.