Uniqueness of meromorphic functions and their powers in set sharing

Uniqueness of meromorphic functions and their powers in set sharing

The objective of this study is to determine whether the existence of shared sets containing both meromorphic (entire) functions and their higher derivatives, as well as powers of meromorphic functions and their differential polynomials, could result in uniqueness. The main focus is on determining th...

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Veröffentlicht in:Journal of applied analysis 2024-06, Vol.30 (1), p.157-172
Hauptverfasser: BE, Manjunath, Waghamore, Harina P.
Format: Artikel
Sprache:eng
Schlagworte:
30D35
Differential equations
Differential polynomial
meromorphic function
Meromorphic functions
Numbers
Polynomials
sharing sets
Uniqueness
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Beschreibung
Zusammenfassung:The objective of this study is to determine whether the existence of shared sets containing both meromorphic (entire) functions and their higher derivatives, as well as powers of meromorphic functions and their differential polynomials, could result in uniqueness. The main focus is on determining the precise solutions to various differential equations. This problem is being studied in a broader context, specifically in set sharing.
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2023-0044