• 제목/요약/키워드: weak type (p,p)

검색결과 195건 처리시간 0.023초

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.

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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    • 제28권4호
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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
    • 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.

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 $q{\geq}0$.

FEW RESULTS IN CONNECTION WITH SUM AND PRODUCT THEOREMS OF RELATIVE (p, q)-𝜑 ORDER, RELATIVE (p, q)-𝜑 TYPE AND RELATIVE (p, q)-𝜑 WEAK TYPE OF MEROMORPHIC FUNCTIONS WITH RESPECT TO ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제26권4호
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    • pp.315-353
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    • 2019
  • Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative (p, q)-𝜑 order, relative (p, q)-𝜑 type, and relative (p, q)-𝜑 weak type of meromorphic functions with respect to entire functions where p, q are any two positive integers and 𝜑 : [0, +∞) → (0, +∞) is a non-decreasing unbounded function.

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.