Linear delay-differential operator of a meromorphic function sharing two sets or small function together with values with its c-shift or q-shift

Arpita Roy, Abhijit Banerjee

Abstract


The paper is devoted to study the uniqueness problem of linear delay-differential operator of a meromorphic function sharing two sets or small function together with values with its \(c\)-shift and \(q\)-shift operator. Results of this paper drastically improve two recent results of Meng-Liu [J. Appl. Math. Inform. 37(1-2)(2019), 133-148] and Qi-Li-Yang [Comput. Methods Funct. Theo., 18(2018), 567-582]. In addition to this, one of our result improve and extend that of Qi-Yang [Comput. Methods Funct. Theo., 20(2020), 159-178].


Keywords


Meromorphic functions; uniqueness; delay-differential operator; shift; shared set; weighted sharing

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.3.10

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