• Title/Summary/Keyword: relative type

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EFFECT OF INTEGER TRANSLATION ON RELATIVE ORDER AND RELATIVE TYPE OF ENTIRE AND MEROMORPHIC FUNCTIONS

  • Biswas, Tanmay;Datta, Sanjib Kumar
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.485-494
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    • 2018
  • In this paper some newly developed results based on the growth properties of relative order (relative lower order), relative type (relative lower type) and relative weak type of entire and meromorphic functions on the basis of integer translation applied upon them are investigated.

SUM AND PRODUCT THEOREMS OF RELATIVE TYPE AND RELATIVE WEAK TYPE OF ENTIRE FUNCTIONS

  • Choi, Junesang;Datta, Sanjib Kumar;Biswas, Tanmay;Sen, Pulakesh
    • Honam Mathematical Journal
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    • v.37 no.1
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    • pp.65-97
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    • 2015
  • Orders and types of entire functions have been actively investigated by many authors. In this paper, we aim at investigating some basic properties in connection with sum and product of relative type and relative weak type of entire functions.

ON SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS FROM THE VIEW POINT OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPE

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.26 no.1
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    • pp.23-41
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    • 2018
  • The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type and relative (p, q)-th weak type where p and q are any two positive integers.

MEASURES OF COMPARATIVE GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p, q)-TH TYPE AND RELATIVE (p, q)-TH WEAK TYPE

  • Biswas, Tanmay
    • The Pure and Applied Mathematics
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    • v.26 no.1
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    • pp.13-33
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    • 2019
  • 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.

SUM AND PRODUCT THEOREMS OF (p, q)-𝜑 RELATIVE GOL'DBERG TYPE AND (p, q)-𝜑 RELATIVE GOL'DBERG WEAK TYPE OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.819-845
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    • 2020
  • In this paper, we established sum and product theorems connected to (p, q)-𝜑 relative Gol'dberg type and (p, q)-𝜑 relative Gol'dberg weak type of entire functions of several complex variables with respect to another one under somewhat different conditions.

RELATIVE (p, q, t)L-TH TYPE AND RELATIVE (p, q, t)L-TH WEAK TYPE ORIENTED GROWTH PROPERTIES OF WRONSKIAN

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.29 no.1
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    • pp.69-91
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    • 2022
  • 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.

THE GROWTH OF ENTIRE FUNCTION IN THE FORM OF VECTOR VALUED DIRICHLET SERIES IN TERMS OF (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.93-117
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    • 2019
  • In this paper we wish to study some growth 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 $p{\geq}0$ and $q{\geq}0$.

SOME RESULTS ON (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE OF ENTIRE FUNCTIONS REPRESENTED BY VECTOR VALUED DIRICHLET SERIES

  • Biswas, Tanmay
    • The Pure and Applied Mathematics
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    • v.25 no.4
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    • pp.297-336
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    • 2018
  • 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 $p{\geq}0$ and $q{\geq}0$.

RELATIVE ORDER AND RELATIVE TYPE BASED GROWTH PROPERTIES OF ITERATED P ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.629-663
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    • 2018
  • Let us suppose that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and $\mathcal{A}$ (${\mathbb{K}}$) be the ${\mathbb{K}}$-algebra of entire functions on K. The main aim of this paper is to study some newly developed results related to the growth rates of iterated p-adic entire functions on the basis of their relative orders, relative type and relative weak type.