• 제목/요약/키워드: (p, q)-th lower order

검색결과 10건 처리시간 0.022초

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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    • 제26권1호
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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
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제26권1호
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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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    • 제27권1호
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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
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제25권4호
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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 $q{\geq}0$.

GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS FROM THE VIEW POINT OF RELATIVE (p, q)-TH ORDER

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • 제26권3호
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    • pp.405-424
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    • 2018
  • In this paper we study some comparative growth properties of composite entire functions on the basis of relative (p, q)-th order and relative (p, q)-th lower order of entire function with respect to another entire function where p and q are any two positive integers.

ITERATED ENTIRE FUNCTIONS AND THEIR GROWTH PROPERTIES ON THE BASIS OF (p, q)-TH ORDER

  • Biswas, Tanmay;Choi, Junesang;Das, Pranab;Datta, Sanjib Kumar
    • 호남수학학술지
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    • 제38권1호
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    • pp.169-212
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    • 2016
  • Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

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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    • 제27권4호
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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.

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

  • 권기철;한성안;이돈구;정인권;서용진;홍의표;최환석
    • 한국산림과학회지
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    • 제110권4호
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    • pp.496-503
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    • 2021
  • 소나무는 우리나라 자생수종 중 모든 지역에서 가장 넓은 분포를 보이고 있다. 소나무림의 입지환경 및 임분구조 특성을 구명하기 위해 제7차 국가산림자원조사(2016년~2020년)를 수행하며 얻은 자료를 활용하여 흉고단면적 기준으로 소나무가 50% 이상인 조사구를 대상으로 분석하였다. 총 15,139개 표본점 중 소나무림으로 분류된 원형조사구(400 m2) 수는 3,665개소이다. 소나무림은 해발 600 m 이하의 낮은 지역의 산림에서 가장 많이 나타났다(평균 출현율 25%). 해발 800 m 이상에서는 주로 남사면과 서사면에 분포했고(57%), 해발고가 낮은 지역에서는 모든 사면에 분포하는 경향을 보였다. 소나무림의 토성은 대부분 사양토(33%), 양토(29%), 미사질양토(24%)였고, 양분 수준은 다소 척박했다. 소나무와 함께 중요도가 높게 나타난 수종은 신갈나무, 굴참나무, 졸참나무, 잔털벚나무, 밤나무 등의 순이었다. 소나무, 곰솔, 리기다소나무 등은 소나무림에서 대경급으로 많이 분포하고 있었다. 신갈나무, 굴참나무, 졸참나무, 떡갈나무, 물푸레나무 등은 중경급의 주요 수종이며, 노간주나무와 때죽나무는 소경급으로 많이 분포하고 있었다. 소나무림에서 하층을 주로 점유하는 수종은 진달래, 졸참나무, 생강나무, 쇠물푸레나무, 개옻나무, 철쭉 등의 순으로 나타났다.