• 제목/요약/키워드: growth order

검색결과 7,122건 처리시간 0.028초

GROWTH OF SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF [p, q]-ORDER IN THE COMPLEX PLANE

  • Biswas, Nityagopal;Tamang, Samten
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1217-1227
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    • 2018
  • In the paper, we study the growth and fixed point of solutions of high order linear differential equations with entire coefficients of [p, q]-order in the complex plane. We improve and extend some results due to T. B. Cao, J. F. Xu, Z. X. Chen, and J. Liu, J. Tu, L. Z. Shi.

ON GROWTH PROPERTIES OF TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF HIGHER ORDER

  • Biswas, Nityagopal;Datta, Sanjib Kumar;Tamang, Samten
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1245-1259
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    • 2019
  • In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of [p, q] - ${\varphi}$ order, ${\varphi}$ being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.

곰솔 성장(成長)에 대(對)하여 (On the growth of Pinus Thunbergii)

  • 김갑덕
    • 한국산림과학회지
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    • 제8권1호
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    • pp.17-20
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    • 1968
  • 4개지역(個地域)에서 생육(生育)하고 있는 곰솔의 성장비교(成長比較)을 하였는데 그 결과(結果)는 다음과 같다. (1) 직경성장(直徑成長)이 가장 양호(良好)한 곳은 합천(陜川)이고 다음이 울산(蔚山), 제주(濟州), 수원(水原)의 순위(順位)였다. (2) 수고성장(樹高成長)이 가장 양호(良好)한 순위(順位)을 보면 울산(蔚山), 수원(水原), 합천(陜川), 제주(濟州) 순(順)이다. (3) 재적성장(材積成長)이 가장 양호(良好)한 순위(順位)을 보면 합천(陜川), 울산(蔚山), 제주(濟州), 수원(水原)으로 되어있다. (4) 위의 것으로 미루어 볼 때 곰솔이 해안수종(海岸樹種)으로 알려져 있으나 성장(成長)은 내륙지방(內陸地方)이 도리어 도서지방(島嶼地方) 또는 해안지방(海岸地方)보다 양호(良好)하였다.

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인삼박(人蔘粕)의 이용(利用)에 관한 연구(硏究) -인삼박(人蔘粕)의 당화(糖化)엑기스가 소아(小兒)의 성장(成長)에 미치는 영향- (Effects of Ginseng on the Physical Growth of Children)

  • 주규현
    • 생약학회지
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    • 제6권4호
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    • pp.205-209
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    • 1975
  • Ginseng, Vitamin, and both were given to six-year-old children for three months to know effects of the drugs on the physical growth of the children. 1. Frequency of children's sickness was in order of vitamin plus ginseng, ginseng, vitamin alone and control groups. 2. Height, circumference of chest and weight of children were increased in order of vitamin plus ginseng, ginseng, vitamin, and control groups. 3. Ginseng, as compared with vitamin increased the children's growth, especially their weight and the circumference of chest.

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

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • 제26권4호
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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.

RELATIVE (p, q)-𝜑 ORDER AND RELATIVE (p, q)-𝜑 TYPE ORIENTED GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • 호남수학학술지
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    • 제41권2호
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    • pp.243-268
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    • 2019
  • The main aim of this paper is to study some growth properties of composite entire functions on the basis of relative $(p,q)-{\varphi}$ type and relative $(p,q)-{\varphi}$ weak type where p and q are any two positive integers and ${\varphi}(r):[0,+{\infty}){\rightarrow}(0,+{\infty})$ be a non-decreasing unbounded function.

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
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권1호
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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.

GROWTH ANALYSIS OF COMPOSITION OF INTEGER TRANSLATED ENTIRE AND MEROMORPHIC FUNCTIONS

  • Manab Biswas;Debashis Kumar Mandal
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권3호
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    • pp.269-288
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    • 2023
  • In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.

RELATIVE (p, q) - 𝜑 ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.361-370
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    • 2021
  • Let 𝕂 be a complete ultrametric algebraically closed field and 𝓐 (𝕂) be the 𝕂-algebra of entire function on 𝕂. For any p-adic entire functions f ∈ 𝓐 (𝕂) and r > 0, we denote by |f|(r) the number sup {|f (x)| : |x| = r} where |·|(r) is a multiplicative norm on 𝓐 (𝕂). In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-𝜑 order where p, q are any two positive integers and 𝜑 (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.

비선형 성장곡선 모형의 분석 절차에 대한 연구 (A Study on the Analysis Procedures of Nonlinear Growth Curve Models)

  • 황정연
    • 품질경영학회지
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    • 제25권1호
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    • pp.44-55
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    • 1997
  • In order to determine procedures for a, pp.opriate model selection of technological growth curves, numerous time series that were representative of growth behavior were collected according to data characteristics. Three different growth curve models were fitted onto data sets in an attempt to determine which growth curve models achieved the best forecasts for types of growth data. The analysis of the results gives rise to an a, pp.oach for selecting a, pp.opriate growth curve models for a given set of data, prior to fitting the models, based on the characteristics of the goodness of fit test.

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