Generalized relative Nevanlinna order (α,β) and generalized relative Nevanlinna type (α,β) based some growth properties of composite analytic functions in the unit disc

Authors : Tanmay BİSWAS, Chınmay BISWAS

Pages : 226-236

Doi:10.31801/cfsuasmas.952921

View : 13 | Download : 12

Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :Our aim in this paper is to introduce some idea about generalized relative Nevanlinna order insert ignore into journalissuearticles values(α,β); and generalized relative Nevanlinna type insert ignore into journalissuearticles values(α,β); of an analytic function with respect to another analytic function in the unit disc where α and β are continuous non-negative functions on insert ignore into journalissuearticles values(-∞,+∞);. So we discuss about some growth properties relating to the composition of two analytic functions in the unit disc on the basis of generalized relative Nevanlinna order insert ignore into journalissuearticles values(α,β); and generalized relative Nevanlinna type insert ignore into journalissuearticles values(α,β); as compared to the growth of their corresponding left and right factors.
Keywords : Growth, analytic function, composition, unit disc, generalized relative Nevanlinna order α β, generalized relative Nevanlinna type α β,