L p - Approximation of Analytic Functions on Compact Sets Bounded by Jordan Curves

Abstract

This paper is concerned with functions analytic on compact sets bounded by Jordan curves having rapidly increasing maximum modulus such that order of function is infinite. To study the precise rates of growth of such functions the concept of index has been used. The q order and lower q order of analytic functions have been obtained in terms of L p approximation error. Our results improve and refine the results of Andre Giroux Giroux 1980 and Kapoor and Nautiyal Kapoor and Nautiyal 1982 for non entire case.