• 제목/요약/키워드: meromorphic function, entire function

검색결과 46건 처리시간 0.022초

RELATIVE (p, q, t)L-TH ORDER AND RELATIVE (p, q, t)L-TH TYPE BASED SOME GROWTH ASPECTS OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • Biswas, Tanmay
    • 호남수학학술지
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    • 제41권3호
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    • pp.463-487
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    • 2019
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative (p, q, t)L-th order and relative (p, q, t)L-th type of entire and meromorphic function with respect to another entire function.

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.

A NOTE ON 𝜑-PROXIMATE ORDER OF MEROMORPHIC FUNCTIONS

  • Tanmay Biswas;Chinmay Biswas
    • 호남수학학술지
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    • 제45권1호
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    • pp.42-53
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    • 2023
  • The main aim of this paper is to introduce the definition of 𝜑-proximate order of a meromorphic function on the complex plane. By considering the concept of 𝜑-proximate order, we will extend some previous results of Lahiri [11]. Furthermore, as an application of 𝜑-proximate order, a result concerning the growth of composite entire and meromorphic function will be given.

UNIQUENESS OF q-SHIFT DIFFERENCE-DIFFERENTIAL POLYNOMIAL OF MEROMORPHIC AND ENTIRE FUNCTION WITH ZERO-ORDER

  • V. NAGARJUN;V. HUSNA;VEENA
    • Journal of applied mathematics & informatics
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    • 제41권2호
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    • pp.247-263
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    • 2023
  • In this article, we investigate the uniqueness problem of q-shift difference polynomial of meromorphic (entire) function with zero-order. Consequently, we prove three results with significantly generalize the results of Goutam Haldar.

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.

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.

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.

EFFECT OF INTEGER TRANSLATION ON RELATIVE ORDER AND RELATIVE TYPE OF ENTIRE AND MEROMORPHIC FUNCTIONS

  • Biswas, Tanmay;Datta, Sanjib Kumar
    • 대한수학회논문집
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    • 제33권2호
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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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    • 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.