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STUDIA MATHEMATICA - Issue no. 3 / 2023 | |||||||
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LINEAR DELAY-DIFFERENTIAL OPERATOR OF A MEROMORPHIC FUNCTION SHARING TWO SETS OR SMALL FUNCTION TOGETHER WITH VALUES WITH ITS c-SHIFT OR q-SHIFT . Authors: . |
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Abstract: DOI: 10.24193/subbmath.2023.3.10 Received 05 August 2020; Accepted 17 September 2020. Published Online: 2023-09-30 Published Print: 2023-09-30 pp. 593-612 VIEW PDF FULL PDF 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. Theory, 18(2018), 567-582]. In addition to this, one of our results improves and extends that of Qi-Yang [Comput. Methods Funct. Theory, 20(2020), 159-178]. Mathematics Subject Classification (2010): 39A70, 30D35. Keywords: Meromorphic functions, uniqueness, delay-differential operator, shift, shared set, weighted sharing. |
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