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SOME GENERALIZED GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS
Biswas, Tanmay,Biswas, Chinmay The Kangwon-Kyungki Mathematical Society 2021 한국수학논문집 Vol.29 No.1
In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized order (, ) and generalized lower order (, ), where and are continuous non-negative functions defined on (-∞, +∞).
A NOTE ON φ-PROXIMATE ORDER OF MEROMORPHIC FUNCTIONS
Tanmay Biswas,Chinmay Biswas 호남수학회 2023 호남수학학술지 Vol.45 No.1
The main aim of this paper is to introduce the definition of φ-proximate order of a meromorphic function on the complex plane. By considering the concept of φ-proximate order, we will extend some previous results of Lahiri [11]. Furthermore, as an application of φ-proximate order, a result concerning the growth of composite entire and meromorphic function will be given.
Generalized relative order (α,β) based some growth analysis of composite entire functions
Tanmay Biswas,Chinmay Biswas 한국수학교육학회 2022 純粹 및 應用數學 Vol.29 No.2
In this paper we wish to establish some results relating to the growths of composition of two entire functions with their corresponding left and right factors on the basis of their generalized relative order (α,β) and generalized relative lower order (α,β) where α and β are continuous non-negative functions defined on (-∞,+∞).
A note on the growth rates of composite \textit{p}-adic entire functions
Tanmay Biswas,Chinmay Biswas 호남수학회 2022 호남수학학술지 Vol.44 No.1
The main aim of this paper is to study some growth properties of \textit{p} -adic entire functions on the basis of generalized relative order $(\alpha ,\beta )$ where $\alpha $ and $\beta $ are continuous non-negative functions on $(-\infty ,+\infty )$.
Tanmay Biswas,Chinmay Biswas 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
The main aim of this paper is to introduce the definitions of generalized order and generalized type of the entire function of complex matrices and then study some of their properties. By considering the concepts of generalized order and generalized type, we will extend some results of Kishka et al. [5].
( Tanmay Biswas ),( Chinmay Biswas ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.4
In this paper we wish to establish the integral representations of generalized relative order (α, β) and generalized relative type (α, β) of entire and meromorphic functions where α and β are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.
RELATIVE (p, q) - ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS
Tanmay Biswas,Chinmay Biswas 강원경기수학회 2021 한국수학논문집 Vol.29 No.2
Let be a complete ultrametric algebraically closed field and ( ) be the -algebra of entire function on . For any p-adic entire functions f ∈ ( ) and r > 0, we denote by |f|(r) the number sup {|f (x)| : |x| = r} where |·|(r) is a multiplicative norm on ( ). In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)- order where p, q are any two positive integers and (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.
Relative (p,q,t)L-th Type and Relative (p,q,t)L-th Weak Type Oriented Growth Properties of Wronskian
Tanmay Biswas,Chinmay Biswas 한국수학교육학회 2022 純粹 및 應用數學 Vol.29 No.1
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, relative (p,q,t)L-th type and relative (p,q,t)L-th weak type and that of wronskian generated by one of the factors.
Some remarks on the growth of composite $p$-adic entire function
Tanmay Biswas,Chinmay Biswas 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
In this paper we wish to introduce the concept of generalized relative index-pair $(\alpha ,\beta)$ of a $p$-adic entire function with respect to another $p$-adic entire function and then prove some results relating to the growth rates of composition of two $p$-adic entire functions with their corresponding left and right factors.
Tanmay Biswas,Chinmay Biswas,Biswajit Saha 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.2
Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (α,β), generalized relative type (α,β) and generalized relative weak type (α,β) of entire functions with respect to another entire function where α, β are continuous non-negative functions on (-∞,+∞)