Further Investigations on Fujimoto Type Strong Uniqueness Polynomials

Abstract

Taking the question posed by the rst author in [1] into background we further
exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover throughout the paper we pose a number of open questions for future research.