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JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2020 Volume 6, Issue 2, Pages 25–37 (Mi umj123)

Generalized order $(\alpha ,\beta)$ oriented some growth properties of composite entire functions

Tanmay Biswasa, Chinmay Biswasb

a Rajbari, Rabindrapally, R.N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India
b Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Dist.-Nadia, PIN-741302, West Bengal, India

Abstract: In this paper we establish some results relating to the growths of composition of two entire functions with their corresponding left and right factors on the basis of their generalized order $(\alpha ,\beta )$ and generalized lower order $(\alpha ,\beta )$ where $\alpha $ and $\beta $ are continuous non-negative functions on $(-\infty ,+\infty )$.

Keywords: entire function, growth, composition, generalized order $(\alpha,\beta )$, generalized lower order $(\alpha,\beta )$.

Language: English

DOI: 10.15826/umj.2020.2.003



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© Steklov Math. Inst. of RAS, 2024