A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials

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.

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Publication Details

Journal
Russian Mathematics
Published
2025-03-01
DOI
https://doi.org/10.3103/s1066369x25700197
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials

Nikhil Bharti, A. P. Singh
Russian Mathematics
Meromorphic and Entire Functions
article

A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials

Nikhil Bharti, A. P. Singh
article en

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.

Russian MathematicsVol. 69(3)
University of Jammu (IN), Maulana Azad Medical College (IN)
Openalex Percentile: Top 77%
Meromorphic and Entire Functions
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