izvuzmathИзвестия высших учебных заведений. МатематикаIzvestiya Vysshikh Uchebnykh Zavedenii. Matematika0021-34462076-4626Казанский (Приволжский) федеральный университет10.26907/0021-3446-2025-3-3-16izvuzmath-170Research ArticleСтатьиЗамечание о нормальных семействах, касающееся неисключительных функций и дифференциальных многочленовA note on normal families, concerning non-exceptional functions and differential polynomialsБхартиН.BhartiN.

Нихил Бхарти

Джамму, 180006

Nikhil Bharti

Jammu, 180006

nikhilbharti94@gmail.comСингхА.SinghA.

Анил Сингх

Джамму, 180006

Anil Singh

Jammu, 180006 

anilmanhasfeb90@gmail.comУниверситет ДжаммуИндияUniversity of JammuIndiaКолледж имени Маулана АзадИндияMaulana Azad Memorial CollegeIndia20252703202503316Copyright © Бхарти Н., Сингх А., 20252025Бхарти Н., Сингх А.Bharti N., Singh A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://izvuzmath.elpub.ru/jour/article/view/170

Изучается нормальность семейства мероморфных функций, дифференциальные многочлены которых удовлетворяют определенному условию, что существенно улучшает и обобщает некоторые недавние результаты Дж.Ф. Чена (Filomat, 31 (14), 4665–4671, 2017). Более того, с помощью примеров показывается, что данный результат является точным.

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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The authors declare that there are no conflicts of interest present.