• Title/Summary/Keyword: relative (p, q)-th lower order

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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.

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 $q{\geq}0$.

SOME GROWTH ASPECTS OF SPECIAL TYPE OF DIFFERENTIAL POLYNOMIAL GENERATED BY ENTIRE AND MEROMORPHIC FUNCTIONS ON THE BASIS OF THEIR RELATIVE (p, q)-TH ORDERS

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.899-927
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    • 2019
  • In this paper we establish some results depending on the comparative growth properties of composite entire and meromorphic functions using relative (p, q)-th order and relative (p, q)-th lower order where p, q are any two positive integers and that of a special type of differential polynomial generated by one of the factors.

The Site Characteristics and Stand Structure of Pinus densiflora Forests in the Republic of Korea (한국 소나무림의 입지환경과 임분구조)

  • Kwon, Ki Cheol;Han, Sung An;Lee, Don Koo;Jung, In Kwon;Seo, Yong Jin;Hong, Eui Pyo;Choi, Hwan Suk
    • Journal of Korean Society of Forest Science
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    • v.110 no.4
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    • pp.496-503
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    • 2021
  • Pinus densiflora is an essential tree species native to the Republic of Korea (ROK) and covers most of the total natural forest areas in the ROK. This study was conducted to understand the site characteristics and stand structure of P. densiflora forests distributed at sites where P. densiflora covered over 50% of the stand basal area during the 7th National Forest Inventory (NFI) period from 2016 to 2020. P. densiflora dominated 3,665 circular sample plots (400 m2). P. densiflora forests predominated at elevations less than 600 m above sea level (a.s.l). However, most P. densiflora forests were distributed at the slopes facing south and west over 800 m a.s.l. At altitudes below 800 m, they were distributed at all slopes but dominated at the southern and western slopes. P. densiflora grew mainly in the soils of sandy loam, loam, or silt loam with relative infertility. Dominant tree species distributed with P. densiflora were Quercus mongolica, Q. variabilis, Q. serrata, Prunus serrulata var. pubescens and Castanea crenata by the descending order. P. densiflora, P. thunbergii, and P. rigida were grown in large DBH classes, Quercus species and Fraxinus rhynchophylla in middle DBH classes, while Juniperus rigida and Styrax japonicus in small DBH classes. Dominant tree species distributed mainly at the lower layer of P. densiflora stands were Rhododendron mucronulatum, Q. serrata, Lindera obtusiloba, Fraxinus sieboldiana, Toxicodendron trichocarpum and Rhododendron schlippenbachii by the descending order.