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Tanmay Biswas 충청수학회 2018 충청수학회지 Vol.31 No.1
In the paper we establish some new results depend-ing on the comparative growth properties of composite entire and meromorphic functions using relative p L * -order, relative p L * -lower order and differential monomials, differential polynomials generated by one of the factors.
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.
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 강원경기수학회 2019 한국수학논문집 Vol.27 No.1
In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative $_{p}L^{\ast }$-order, relative $_{p}L^{\ast }$-lower order and differential monomials, differential polynomials generated by one of the factors.
Tanmay Biswas 한국수학교육학회 2019 純粹 및 應用數學 Vol.26 No.4
Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative (p,q)-ϕ order, relative (p,q)-ϕ type, and relative (p,q)-ϕ weak type of meromorphic functions with respect to entire functions where p,q are any two positive integers and ϕ : [0,+∞)→(0,+∞) be a non-decreasing unbounded function.
Tanmay Biswas 한국수학교육학회 2019 純粹 및 應用數學 Vol.26 No.1
The main aim of this paper is to establish some comparative growth properties of composite entire functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type, relative (p, q)-th weak type of entire function with respect to another entire function where p and q are any two positive integers.
TANMAY KAYAL,Yogesh Mani Tripathi,Shu-Fei Wu 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.1
One of the main objective of manufacturing industries is to assess the capability performance of dierent processes. In this paper, we use the lifetime performance index CL as a criterion to measure larger-thebetter type quality characteristic for evaluating the product performance. The lifetimes of products are assumed to follow a general class of inverted exponentiated distributions. We use maximum likelihood estimator to estimate the lifetime performance index under the assumption that data are progressive type I interval censored. We also obtain asymptotic distribution of this estimator. Based on this estimator, a new hypothesis testing procedure is developed with respect to a given lower specication limit. Finally, two numerical examples are discussed in support of the proposed testing procedure.
A NOTE ON (p; q)-TH RELATIVE ORDER AND (p; q)-TH RELATIVE TYPE OF P-ADIC ENTIRE FUNCTIONS
Tanmay Biswas 호남수학회 2018 호남수학학술지 Vol.40 No.4
Let us consider that K be a complete ultrametric alge-braically closed eld and A(K) be the K-algebra of entire functions on K. In this paper we introduce the notions of (p; q)-th relative or- der and (p; q)-th relative type of entire functions on K where p and q are any two positive integers and then study some basic proper-ties of p-adic entire functions on the basis of their (p; q)-th relative order and (p; q)-th relative type.
Tanmay Biswas 한국수학교육학회 2018 純粹 및 應用數學 Vol.25 No.4
In this paper we wish to establish some basic properties of entire functions represented by a vector valued Dirichlet series on the basis of (p; q)-th relative Ritt order, (p; q)-th relative Ritt type and (p; q)-th relative Ritt weak type where p and q are integers such that p ≥ 0 and q ≥ 0.
Tanmay Biswas,Chinmay Biswas 강원경기수학회 2020 한국수학논문집 Vol.28 No.4
In this paper, we established sum and product theorems connected to $(p,q)$-$ \varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weak type of entire functions of several complex variables with respect to another one under somewhat different conditions.