Uniqueness of certain power of a meromorphic function sharing a set with its differential monomial

Banerjee Abhijit; Ahamed Molla Basir

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855

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2024-03-01 09:10

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similare conform CZU

517.54+517.957 (1)

Analiză (301)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)

SM ISO690:2012

BANERJEE, Abhijit, AHAMED, Molla Basir. Uniqueness of certain power of a meromorphic function sharing a set with its differential monomial. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 3(82), pp. 99-120. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 3(82) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Uniqueness of certain power of a meromorphic function sharing a set with its differential monomial

CZU: 517.54+517.957

MSC 2010: 30D35

Pag. 99-120

Banerjee Abhijit¹, Ahamed Molla Basir²

¹ Department of Mathematics University of Kalyani,
² Department of Mathematics Kalipada Ghosh Tarai Mahavidyalaya

Disponibil în IBN: 19 aprilie 2017

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In this paper we are mainly devoted to find out the specific form of a meromorphic function when it shares a set of small functions with its differential monomial counterpart. Our results will improve and extend some of the recent results due to Zhang-Yang [J. L. Zhang and L. Z. Yang, A power of a meromorphic function sharing a small function with its derivative, Ann. Acad. Sci. Fenn. Math. 34(2009), 249–260] and Xu-Yi-Yang [H.Y. Xu, C. F. Yi and H. Wang, On a conjecture of R. Bruck concerning meromorphic function sharing small functions, Revista de Matematica Teoria y Aplicaciones, 23(1)(2016), 291-308]. We provide some examples to show that certain conditions used in the paper can not be removed.

Cuvinte-cheie
Meromorphic function, uniqueness,

differential polynomial, shared set

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