A Note on Generalized Relative Order (α,β) and Generalized Relative Type (α,β) of a Meromorphic Function with Respect to an Entire Function in the Unit Disc

Authors : Tanmay BİSWAS, Chinmay BISWAS

Pages : 391-409

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Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :In this paper we introduce the idea of generalized relative order $insert ignore into journalissuearticles values(\alpha ,\beta );$ and generalized relative type $insert ignore into journalissuearticles values(\alpha ,\beta );$\ of a meromorphic function with respect to an analytic function in the unit disc $D$ where $\alpha $ and $\beta $ are continuous non-negative on $insert ignore into journalissuearticles values(-\infty ,+\infty );$ functions. Hence we study some basic properties relating to the sum and product theorems of generalized relative order $insert ignore into journalissuearticles values(\alpha ,\beta );$ and generalized relative type $insert ignore into journalissuearticles values(\alpha ,\beta );$\ of a meromorphic function with respect to an analytic function in the unit disc $D$.
Keywords : Meromorphic function, unit disc, generalized relative order α, β, , generalized relative type α, β, , generalized relative weak type insert ignore into journalissueart