SOME GROWTH PROPERTIES OF SPECIAL TYPE OF DIFFERENTIAL POLYNOMIAL GENERATED BY ENTIRE AND MEROMORPHIC FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p, q, t)L-th

By

Tanmay Biswas^a , Ritam Biswas² and Chinmay Biswas³

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

²Department of Mathematics, Krishnath College, P.O.- Berhampore, Dist.- Murshidabad-742101, West Bengal, India

³Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Dist.- Nadia-741302, West Bengal, India

Email:tanmaybiswas_math@rediffmail.com, ritamiitr@yahoo.co.in,chinmay.shib@gmail.com

(Received : March 16,2021 ; Revised in format: March 24, 2021; Revised in final form : October 03, 2021)

DOI: https://doi.org/10.58250/Jnanabha.2021.51211

Abstract

In the paper we establish some new results depending on the comparative growth properties of composite transcendental entire and meromorphic functions using relative (p, q, t)L-th order and relative (p, q, t)L-th lower order and that of a special type of differential polynomial generated by one of the factors.

2020 Mathematical Sciences Classification: 30D20, 30D30, 30D35.

Keywords and Phrases: Transcendental entire function, transcendental meromorphic function, relative (p, q, t)L-th order, relative (p, q, t)L-th lower order, growth, slowly changing function, property(A), special type of differential polynomial.

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