Growth of Entire Functions on the basis of Slowly Changing Functions

Classical value distribution theory deals with the study of 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. By the turn of the century, Borel had succeeded in combining and improving results of Picard, Poincare and Hadamard in such a way that a value distribution theory began to take shape. In 1926, Finish mathematician Rolf Nevanlinna succeeded in creating a far-reaching value distribution theory for meromorphic functions, in such a way that it contained as a special case the theory of entire functions in an improved form. The value distribution theory deals with various aspects of the behavior of entire and meromorphic functions one of which is the study of growth analysis. In 1930, Jovan Karamanta introduced a class of functions called slowly changing functions, which have since been applied in the various field of mathematics. The present book deals with the growth analysis of entire functions with the effect of slowly changing functions.