On the Growth Properties of Composite p-adic Entire Functions. Growth Properties of p-adic Entire Functions

      Аннотация: The study of the theory of analytic functions in algebraically closed ultrametric field is very interesting which was started in the 20-th century. The study of some growth properties of composition of two p-adic entire functions is the main purpose of this book, which covers the essential branch of non-Archimedean field. The main target of the book is to widen and revise the ideas of order and type of growth of an entire function on non-Archimedean field to generalized order and generalized type of higher dimensions as done on complex field. Likewise to complex analysis, here in this book, we are trying to establish some the growth properties of composition of two p-adic entire functions on non-Archimedean field which have the same relations as in complex analysis.

Ключевые слова: p-adic entire function, GROWTH, Composition, slowly increasing functions, different growth indicators