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Uniqueness of meromorphic functions sharing two sets with q-shift and delay-differential operator
Chaithra C. N.,Naveenkumar S. H.,Rajeshwari S.,Jayarama H. R. 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.4
Uniqueness of meromorphic functions sharing two sets with q-shift and delay-differential operator
UNIQUENESS OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS AND CERTAIN DIFFERENTIAL POLYNOMIALS
H.R. JAYARAMA,S.H. NAVEENKUMAR,S. RAJESHWARI,C.N. CHAITHRA The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this paper, we explore the uniqueness property between the transcendental meromorphic functions and differential polynomial. With the notion of weighted sharing, we generalised the many previous results on uniqueness property. Here we discussed the uniqueness of [P(f)(αf<sup>m</sup> + β)<sup>s</sup>]<sup>(k)</sup> - η(z) and [P(g)(αg<sup>m</sup> + β)<sup>s</sup>]<sup>(k)</sup> - η(z). Meanwhile, we generalised the result of Harina P. waghamore and Rajeshwari S[1].