Growths and deficiencies of entire functions under p-adic analysis

Classical value distribution theory deals with the study of the density of points in the plane at which an analytic function takes a prescribed value. Polynomials for which complete results can at once be obtained, served as a model when the study of entire functions was started about a hundred years ago. In 1926 Finish mathematician Rolf Nevanlinna succeeded in creating a far-reaching value distribution theory for meromorphic functions in such a way that it can be mentioned as a special case of the theory of entire functions in an improved form. Recently p-adic Nevanlinna theory has become one of the active mathematical fields. The study of p-adic analogue of two main theorems of Nevanlinnaand defect relations of classical Nevanlinna theory was started about twenty years ago. The present monograph deals with the growth analysis of p-adic entire functions and deficiencies of differential equations under the flavor of p-adic co-prime polynomials.

Autorentext

Dr. Sanjib Kumar Datta is currently an Associate Professor at the Department of Mathematics, Kalyani University, India. During his teaching and research career of more than 15 years, he has published nearly 200 Research Papers and supervised 17 Ph.D. Scholars. Presently, he is a reviewer of American Mathematical Society and Zentralblatt Math.