• Title/Summary/Keyword: Relative

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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.

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.

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.

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 $q{\geq}0$.

Characteristics of Relative Navigation Algorithms Using Laser Measurements and Laser-GPS Combined Measurements

  • Kang, Dae-Eun;Park, Sang-Young;Son, Jihae
    • Journal of Astronomy and Space Sciences
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    • v.35 no.4
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    • pp.287-293
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    • 2018
  • This paper presents a satellite relative navigation strategy for formation flying, which chooses an appropriate navigation algorithm according to the operating environment. Not only global positioning system (GPS) measurements, but laser measurements can also be utilized to determine the relative positions of satellites. Laser data is used solely or together with GPS measurements. Numerical simulations were conducted to compare the relative navigation algorithm using only laser data and laser data combined with GPS data. If an accurate direction of laser pointing is estimated, the relative position of satellites can be determined using only laser measurements. If not, the combined algorithm has better performance, and is irrelevant to the precision of the relative angle data between two satellites in spherical coordinates. Within 10 km relative distance between satellites, relative navigation using double difference GPS data makes more precise relative position estimation results. If the simulation results are applied to the relative navigation strategy, the proper algorithm can be chosen, and the relative position of satellites can be estimated precisely in changing mission environments.

The Refinement Project of Health Insurance Relative Value Scales: Results and Limits (건강보험 상대가치 개정 연구의 성과와 한계)

  • Kang, Gil-Won;Lee, Choong-Sup
    • Health Policy and Management
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    • v.17 no.3
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    • pp.1-25
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    • 2007
  • Relative value scales introduced in 2001 remarkably improved health insurance fee schedule, but current relative value scales have many problems. In the beginning the government intended to introduce 'resource based relative value scales(RBRVSs)' like USA, but political adjustment of RBRVS studied in 19.17 weakened the relationship between relative value scale and resource consumption. So unbalance of health insurance fees are existing till now. Also relative value was not divided to physician work and practice expense, and malpractice fee was not divided separately. To correct the unbalance of current relative value scales, the refinement project of health insurance relative value scales started in 2003. The project team divided relative value scales into three components, which are physician work, practice expense, malpractice fee. Physician work was studied by professional organizations like Korean medical association. To develop the practice expense relative value, project team organized clinical practice expert panels(CPEPs) composed of physicians, nurses, and medical technicians. CPEPs constructed direct expense data like labor costs, material costs, equipment costs about each medical procedures. The practice expense relative values of medical procedures were developed by the allocation of the institution level direct & indirect costs according to CPEPs direct costs. Institution level direct & indirect costs were collected in 21 hospitals, 98 medical clinics, 53 dental clinics, 78 oriental clinics, and 46 pharmacies. The malpractice fee relative values were developed through the survey of malpractice related costs of hospitals, clinics, pharmacies. Putting together three components of relative values in one scale, the final relative values were made. The final relative values were calculated under budget neutrality by medical departments, that is, total relative value score of a department was same before and after the revision. but malpractice fee relative value scores were added to total scores of relative values. So total score of a department was increased by the malpractice fee relative value score of that department This project failed in making 'resource based' relative value scales in the true sense of the word, because the total relative value scores of medical departments were fixed. However the project team constructed the objective basis of relative value scale like physician's work, direct practice expense, malpractice fee. So step by step making process of the basis, the fixation of total scores by the departments will be resolved and the resource based relative value scale will be introduced in true sense.