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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 $(\alpha,\beta )$.
Citation:
Tanmay Biswas, Chinmay Biswas, “Generalized order $(\alpha ,\beta)$ oriented some growth properties of composite entire functions”, Ural Math. J., 6:2 (2020), 25–37
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https://www.mathnet.ru/eng/umj123 https://www.mathnet.ru/eng/umj/v6/i2/p25
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Abstract page: | 94 | Full-text PDF : | 107 | References: | 19 |
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