Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators

Autor: Abhijit Banerjee, Arpita Roy
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Arab Journal of Mathematical Sciences, Vol 28, Iss 2, Pp 217-228 (2022)
Druh dokumentu: article
ISSN: 2020-0099
2588-9214
1319-5166
DOI: 10.1108/AJMS-10-2020-0099/full/pdf
Popis: Purpose – The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator. Design/methodology/approach – Standard methodology for papers in difference and shift operators and value distribution theory have been used. Findings – The relation between an entire function of restricted hyper-order with its linear c-shift operator was found under the periphery of sharing a set of two small functions IM (ignoring multiplicities) when exponent of convergence of zeros is strictly less than its order. This research work is an improvement and extension of two previous papers. Originality/value – This is an original research work.
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