GENERALIZED RELATIVE TYPE (α, β) AND GENERALIZED RELATIVE WEAK TYPE (α, β) ORIENTED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS

By

Tanmay Biswas¹ and Chinmay Biswas²

¹Rajbari, Rabindrapally, R. N. Tagore Road, P.O. Krishnagar, Dist. Nadia-741101, West Bengal, India

²Department of Mathematics, Nabadwip, Vidyasagar College, Nabadwip, Dist. Nadia-741302, West Bengal, India Email:tanmaybiswas_math@rediffmail.com, chinmay.shib@gmail.com

(Received : July 23, 2021; In format : September 15, 2021; Revised : November 20, 2021)

DOI: https://doi.org/10.58250/Jnanabha.2021.51229

Abstract

The main aim of this paper is to prove some results related to the growth rates of composite p-adic entire functions on the basis of their generalized relative type (α, β) and generalized relative weak type (α, β) where α and β are continuous non-negative functions defined on (−∞, +∞).

2020 Mathematical Sciences Classification: (2020) : 12J25, 30D35, 30G06, 46S10.

Keywords and Phrases: p-adic entire function, growth, generalized order (α, β), generalized type (α, β), generalized weak type (α, β), generalized relative order (α, β), generalized relative type (α, β), generalized relative weak type (α, β).

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