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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2025, Number 3, Pages 3–16
DOI: https://doi.org/10.26907/0021-3446-2025-3-3-16 (Mi ivm10069) 		 
A note on normal families, concerning non-exceptional functions and differential polynomials

N. Bhartia, A. Singhb

a University of Jammu, Jammu, 180006 India
b Maulana Azad Memorial College, Jammu, 180006 India
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DOI: https://doi.org/10.26907/0021-3446-2025-3-3-16
Abstract: The normality of a family of meromorphic functions whose differential polynomials satisfy a certain condition is studied. This significantly improves and generalizes some recent results of Chen (Filomat, 31 (14), 4665–4671, 2017). Moreover, the result is sharp, which is demonstrated with the help of examples.
Keywords: normal family, differential polynomial, meromorphic function.
Received: 21.02.2024
Revised: 02.08.2024
Accepted: 26.09.2024
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2025, Volume 69, Issue 3, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X25700197
Document Type: Article
UDC: 517
Language: Russian
Citation: N. Bharti, A. Singh, “A note on normal families, concerning non-exceptional functions and differential polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 3, 3–16; Russian Math. (Iz. VUZ), 69:3 (2025), 1–11
Citation in format AMSBIB
\Bibitem{BhaSin25}
\by N.~Bharti, A.~Singh
\paper A note on normal families, concerning non-exceptional functions and differential polynomials
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2025
\issue 3
\pages 3--16
\mathnet{http://mi.mathnet.ru/ivm10069}
\crossref{https://doi.org/10.26907/0021-3446-2025-3-3-16}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2025
\vol 69
\issue 3
\pages 1--11
\crossref{https://doi.org/10.3103/S1066369X25700197}
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