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Further investigations on Fujimoto type strong uniqueness polynomials

Banerjee Abhijit (Department of Mathematics, University of Kalyani, West Bengal, India)
Chakraborty Bikash (Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, West Bengal, India)
Mallick Sanjay (Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, West Bengal, India)

Taking the question posed by the first 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.

Keywords: meromorphic functions, uniqueness polynomial, strong uniqueness polynomial, unique range set