2020/08/21 by Abhijit Banerjee, Banerjee, Abhijit, Saikat Bhattacharyya +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2008.09344
openalex publication_date 2020/08/21 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper we have mainly focused on the uniqueness of two meromorphic\nfunctions under the realm of two shared sets problem with certain restrictions\nwhich in turn improve the results of P. Sahoo and H. Karmakar, Uniqueness\ntheorems related to weighted sharing of two sets, Acta Univ. Sapientiae,\nMathematica, 10(2) (2018), 329-339 and P. Sahoo and A. Sarkar, On the\nuniqueness of meromorphic functions sharing two sets, Bol. Soc. Mat. Mex.,\n(2019), 1-7. In particular, pointing out some gaps in the statements of the\nresults in P. Sahoo and H. Karmakar, Uniqueness theorems related to weighted\nsharing of two sets, Acta Univ. Sapientiae, Mathematica, 10(2) (2018), 329-339\nand P. Sahoo and A. Sarkar, On the uniqueness of meromorphic functions sharing\ntwo sets, Bol. Soc. Mat. Mex., (2019), 1-7. we have removed the order\nrestrictions on the main results in P. Sahoo and H. Karmakar, Uniqueness\ntheorems related to weighted sharing of two sets, Acta Univ. Sapientiae,\nMathematica, 10(2) (2018), 329-339 and P. Sahoo and A. Sarkar, On the\nuniqueness of meromorphic functions sharing two sets, Bol. Soc. Mat. Mex.,\n(2019), 1-7 at the cost of sharing of an additional singleton. A number of\nexamples have been provided by us to show some conditions in our results are\nessential.\n