Generalized order \((\alpha ,\beta)\) oriented some growth properties of composite entire functions. (English) Zbl 1462.30052

Biswas, Tanmay; Biswas, Chinmay

Ural Math. J. 6, No. 2, 25-37 (2020).

Summary: 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 \((-\infty ,+\infty )\).

MSC:

30D15

Special classes of entire functions of one complex variable and growth estimates

Keywords:

entire functions; composition; growth; generalized order; generalized lower order

References:

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