Jñānābha‎, Vol. 50 (2) (2020), (179-189)


GROWTH ANALYSIS OF COMPOSITE P-ADIC ENTIRE FUNCTIONS FROM THE VIEW POINT OF RELATIVE (p,q)-TH ORDER AND RELATIVE (p,q)-TH TYPE

By

Ritam Biswas

Department of Mathematics, Krishnath College

P.O.- Berhampore, Dist- Murshidabad-742101, West Bengal, India

Email: ritamiitr@yahoo.co.in

Tanmay Biswas

Rajbari, Rabindrapally, R. N. Tagore Road

P.O.- Krishnagar, Dist-Nadia-741101, West Bengal, India

Email: tanmaybiswas_math@rediffmail.com

Chinmay Biswas

Department of Mathematics, Nabadwip Vidyasagar College

Pacca Tole Road, Nabadwip, Nadia-741302, West Bengal, India

Email: chinmay.shib@gmail.com

(Received: July 26, 2020; Revised: October 30, 2020)

Suppose K be a complete ultrametric algebraicallyclosed field and suppose A(K) be the K-algebra of entire functions on K. In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p,q)-th order, relative (p,q)-th type and relative (p,q)-th weak type.

2010 Mathematics Subject Classifications: 12J25,30D35,30G06,46S10.

Keywords and phrases: p-adic entire functions, growth, relative (p,q)-th order, relative (p,q)-th type, relative (p,q)-th weak type, composition.



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