Some Remarks on the Growth Analysis of p-adic Entire Functions. On some growth analysis of composite entire functions on non-Archimedean field

      Аннотация: The study of the theory of entire functions is well known on the complex analysis and was started about a hundred years ago. But if we consider an algebraically closed ultrametric field, the study of the theory of analytic functions was started in the 20-th century and now it is possible to obtain some new results. The present book deals with the study of some growth analysis of p-adic entire functions. This book is mainly focused on some growth properties of p-adic entire functions, which covers the important branch of non-Archimedean field. The main aim of the book is to extend and modify the order and type of growth of an entire function on non-Archimedean field to relative order of higher dimensions as done on complex field. Similarly to complex analysis, here in this book, we are trying to establish some the growth properties of entire functions on non-Archimedean field which have the same relations as in complex analysis.

Ключевые слова: p-adic entire function, Growth, composition, different growth indicators.