Advanced Studies: Euro-Tbilisi Mathematical Journal

On the uniqueness of meromorphic functions of certain types of non-linear differential polynomials share a small function

H. R. Jayarama, S. H. Naveenkumar, C. N. Chaithra

In this article, we consider the uniqueness problem of the non-linear differential polynomial (fⁿP(f)H[f])^(k), where f(z) is a transcendental meromorphic function. With the concept of share a small function with finite weight. We obtain some results which extend and improve some results due to Pulak Sahoo and Biswajit Saha (Acta Mathematica Vietnamica. 41, 25–36 (2016)).


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(4) (2023), pp. 21-37