An extension of Hayman’s alternative to a class of differential polynomials

After a work of W. K. Hayman on the value distribution of a derivative of a meromorphic function, the result is popularly known as Hayman’s alternative, a lot of work is done on the topic. Since a differential polynomial is a natural extension of a derivative, in the paper we prove two results on th...

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Veröffentlicht in:	Bollettino della Unione matematica italiana (2008) 2023-12, Vol.16 (4), p.747-761
Hauptverfasser:	Lahiri, Indrajit, Charak, Kuldeep Singh, Singh, Anil
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Sprache:	eng
Schlagworte:	Derivatives Mathematics Mathematics and Statistics Meromorphic functions Polynomials
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description	After a work of W. K. Hayman on the value distribution of a derivative of a meromorphic function, the result is popularly known as Hayman’s alternative, a lot of work is done on the topic. Since a differential polynomial is a natural extension of a derivative, in the paper we prove two results on the value distribution of differential polynomials, which extend some existing results.
doi_str_mv	10.1007/s40574-023-00365-9
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title	An extension of Hayman’s alternative to a class of differential polynomials
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